A racecar starting from rest accelerates uniformly at #4.9# #m##/##s^2#. What is the car's velocity after it has traveled 200 meters?

1 Answer
May 26, 2017

#v~~44m/s#

Explanation:

This can be solved with kinematics. We will use the following kinematic equation:

#v_f^2=v_i^2+2aDeltas#

where #v_f# is the final velocity, #v_i# is the initial velocity, #a# is the acceleration, and #Deltas# is the displacement.

In our case, #a=4.9m/s^2#, #Deltas=200m#, and, as the car is initially at rest, #v_i=0#. We want to solve for #v_f#.

#=>v_f=sqrt(cancel(v_i^2)+2aDeltas)#

#=sqrt(2(4.9m/s^2)(200m))#

#~~44m/s#