Answers edited by ali ergin
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If a projectile is shot at a velocity of 52ms and an angle of π3, how far will the projectile travel before landing?
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How do you solve the following system: 6x+2y=−4,3x−4y=−10?
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Question #50cca
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A ball with a mass of 9kg moving at 15ms hits a still ball with a mass of 2kg. If the first ball stops moving, how fast is the second ball moving?
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A baseball is thrown straight up at 15 m/s. How high will it go?
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How do you find the slope of (-2, 5) and (-2, 8)?
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A projectile is shot at a velocity of 3ms and an angle of π8. What is the projectile's peak height?
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An object with a mass of 8kg is traveling in a circular path of a radius of 12m. If the object's angular velocity changes from 15Hz to 7Hz in 6s, what torque was applied to the object?
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How do you evaluate the integral of ∫dt(t−4)2 from 1 to 5?
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The force applied against a moving object travelling on a linear path is given by F(x)=4x+4. How much work would it take to move the object over x∈[1,5]?
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Two charges of 2C and 8C are positioned on a line at points −3 and 6, respectively. What is the net force on a charge of −3C at −2?
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Two charges of −2C and 3C are positioned on a line at points 5 and −6, respectively. What is the net force on a charge of −1C at 0?
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The velocity of an object with a mass of 3kg is given by v(t)=sin4t+cos3t. What is the impulse applied to the object at t=π6?
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How do you evaluate the integral of ∫x−1x2+3x+2dx from 0 to 1?
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Objects A and B are at the origin. If object A moves to (8,5) and object B moves to (9,−2) over 2s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.
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An object, previously at rest, slides 15m down a ramp, with an incline of π3, and then slides horizontally on the floor for another 12m. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
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An object, previously at rest, slides 9m down a ramp, with an incline of π6, and then slides horizontally on the floor for another 24m. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
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What is the projection of <5,0,−2> onto <1,−1,0>?
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How do you evaluate log427?
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A charge of −2C is at the origin. How much energy would be applied to or released from a 4C charge if it is moved from (7,5) to (9,−2)?
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A ball with a mass of 480g is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of 16kgs2 and was compressed by 45m when the ball was released. How high will the ball go?
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How do you find the inverse of y=3x2−2 and is it a function?
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How do you solve log378=x?
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How fast will an object with a mass of 16kg accelerate if a force of 64N is constantly applied to it?
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How do you solve 5x3−320x=0?
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Two charges of −4C and −2C are positioned on a line at points −1 and 4, respectively. What is the net force on a charge of −4C at 1?
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A block of silver has a length of 0.93 m, a width of 60 mm and a height of 12 cm. How do you find the total resistance of the block if it is placed in a circuit such that the current runs along its length? Along its height? Along its width?
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What is the angular momentum of a rod with a mass of 2kg and length of 6m that is spinning around its center at 3Hz?
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What is the derivative of x⋅x12?
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The velocity of an object with a mass of 2kg is given by v(t)=sin5t+cos6t. What is the impulse applied to the object at t=π4?
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How do you normalize (−7i−j+25k)?
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Objects A and B are at the origin. If object A moves to (5,−7) and object B moves to (7,4) over 3s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.
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A charge of 16C is passing through points A and B on a circuit. If the charge's electric potential changes from 38J to 12J, what is the voltage between points A and B?
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How much work would it take to push a 9kg weight up a 2m plane that is at an incline of π6?
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Objects A and B are at the origin. If object A moves to (−7,−9) and object B moves to (1,−1) over 8s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.
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What is the dot product of <−1,4,7> and <9,−7,5>?
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What is the cross product of <−3,0,2> and <−1,−2,9>?
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A ball with a mass of 2kg is rolling at 9ms and elastically collides with a resting ball with a mass of 1kg. What are the post-collision velocities of the balls?
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A train traveled 325 miles in 5 hours. What was the train's average rate of speed in miles per hour?
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A balanced lever has two weights on it, the first with mass 72kg and the second with mass 9kg. If the first weight is 2m from the fulcrum, how far is the second weight from the fulcrum?
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Objects A and B are at the origin. If object A moves to (3,−4) and object B moves to (2,−6) over 4s, what is the relative velocity of object B from the perspective of object A?
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A ball with a mass of 5kg is rolling at 8ms and elastically collides with a resting ball with a mass of 2kg. What are the post-collision velocities of the balls?
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What is the projection of <3,−6,2> onto <0,1,3>?
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An object with a mass of 4 kg is hanging from a spring with a constant of 8 (kg)/s^2. If the spring is stretched by 8 m, what is the net force on the object?
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What is the distance between the following polar coordinates?: (7,(5pi)/4), (2,(9pi)/8)
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A spring with a constant of 9 (kg)/s^2 is lying on the ground with one end attached to a wall. An object with a mass of 2 kg and speed of 7 m/s collides with and compresses the spring until it stops moving. How much will the spring compress?
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An object is thrown vertically at a height of 14 m at 1 m/s. How long will it take for the object to hit the ground?
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Objects A and B are at the origin. If object A moves to (-2 ,8 ) and object B moves to (-5 ,-6 ) over 4 s, what is the relative velocity of object B from the perspective of object A?
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If A = {2,-7 ,5}, B = {5,-7,4} and C = A - B, what is the angle between A and C?
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A balanced lever has two weights on it, the first with mass 15 kg and the second with mass 14 kg. If the first weight is 7 m from the fulcrum, how far is the second weight from the fulcrum?
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How do you integrate int 1/sqrt(x^2-4x+13)dx using trigonometric substitution?
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What is the distance between (1 ,( pi)/4 ) and (-4 , ( 3 pi )/2 )?
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How can I calculate the focal point of concave mirror?
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A spring with a constant of 6 (kg)/s^2 is lying on the ground with one end attached to a wall. An object with a mass of 1 kg and speed of 4 m/s collides with and compresses the spring until it stops moving. How much will the spring compress?
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Two charges of 9 C and 2 C are positioned on a line at points 6 and -4 , respectively. What is the net force on a charge of 3 C at 2 ?
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Objects A and B are at the origin. If object A moves to (9 ,-7 ) and object B moves to (-8 ,6 ) over 3 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.
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An object with a mass of 3 kg is traveling in a circular path of a radius of 15 m. If the object's angular velocity changes from 5 Hz to 3Hz in 5 s, what torque was applied to the object?
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How do you solve sqrt(3x)+8=x+2?
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A projectile is shot from the ground at a velocity of 1 m/s at an angle of (5pi)/12. How long will it take for the projectile to land?
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What is the average speed of an object that is still at t=0 and accelerates at a rate of a(t) =2t^2-3t-3 from t in [2, 4]?
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How do you simplify sqrt77*sqrt33?
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A block weighing 4 kg is on a plane with an incline of (pi)/2 and friction coefficient of 4/5. How much force, if any, is necessary to keep the block from sliding down?
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If a projectile is shot at an angle of pi/6 and at a velocity of 18 m/s, when will it reach its maximum height??
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How do you find the definite integral of int (1-2x-3x^2)dx from [0,2]?
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What is the projection of <-2,3,7 > onto <1,6,1 >?
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What is the integral of int sin^3 (x)cos^3 (x) dx?
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If a projectile is shot at an angle of (7pi)/12 and at a velocity of 1 m/s, when will it reach its maximum height?
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What is the cross product of <3 ,1 ,-6 > and <-2 ,-4 , 8 >?
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If A = <-6 ,2 ,5 >, B = <-8 ,3 ,4 > and C=A-B, what is the angle between A and C?
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How much work would it take to push a 8 kg weight up a 3 m plane that is at an incline of pi / 4 ?
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What is the average speed of an object that is not moving at t=0 and accelerates at a rate of a(t) =10-2t on t in [3, 5]?
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An object, previously at rest, slides 5 m down a ramp, with an incline of (3pi)/8 , and then slides horizontally on the floor for another 12 m. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
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If an object with a mass of 5 kg changes speed from 12m/s to 8m/s, by how much does its kinetic energy change?
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What is the component form of a vector with an initial point of (-2, 3) and a terminal point of (-4, 7)?
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What is the slope of the line passing through the following points: (2,6) ; (5,2)?
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How do you integrate int (x+1)/(x^2 + 6x) using partial fractions?
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(a) With what speed must a ball be thrown vertically from ground level to rise to a maximum height of ?
(b) How long will it be in the air ?
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A ball with a mass of 5 kg is rolling at 3 m/s and elastically collides with a resting ball with a mass of 2 kg. What are the post-collision velocities of the balls?
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What is the cross product of <-3, -1, 8 > and <-1, 4, -9 >?
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Two charges of -1 C and 5 C are at points (1,-5,3 ) and ( -3 , 9, 1 ), respectively. Assuming that both coordinates are in meters, what is the force between the two points?
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Objects A and B are at the origin. If object A moves to (6 ,-2 ) and object B moves to (2 ,9 ) over 5 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.
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