Posted by **Alex** on Wednesday, December 2, 2009 at 1:12pm.

A car and a motorcycle start from rest at the same time on a straight section of the road. However, the motorcycle starts 29.6 m behind the car. The car accelerates at a uniform rate of 3.9 m/s^2 while the motorcycle accelerates at a constant rate of 4.2 m/s^2. How much time elapses until the motorcycle overtakes the car?

- physics -
**bobpursley**, Wednesday, December 2, 2009 at 1:31pm
They travel the same time, and 29.6m different in distance.

dm=1/2 am t^2

dc=1/2 ac t^2

subtract the second equation from the first

dm-dc=1/2 (am-ac)t^2

29.6=1/2 (am-ac)t^2

solve for t.

- physics -
**josh**, Saturday, September 15, 2012 at 5:43pm
A car traveling at +7.8 m/s accelerates at the

rate of 0.65 m/s

2

for an interval of 1.6 s.

Find vf .

Answer in units of m/s

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