How much distance does a car with an acceleration of #4.0# #m##/##s^2# travel as it goes from #10# #m##/##s# to #30# #m##/##s#?

1 Answer
Jan 7, 2016

100 m

Explanation:

Use the third equation of motion (time independent)
#v^2# - #u^2# = #2ax #
and the variables #v, u # and #a#
Final velocity #v = 30 m s^-1#
Initial velocity #u = 10 m s^-1#
acceleration #a = 4 m s^-2#

#Solution:#

#v^2# - #u^2# = #2ax #
#30^2# - #10^2# = #2 xx 4 xx x#
#900 - 100 = 8 x#
#800 = 8 x#
or #100# meters