A ball starting from rest accelerated uniformly at 5.0 m/s as it rolls 40 meters down an incline. How much time is required for the ball to roll the 40 meters?

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Answer 1 · 2015-11-19T23:16:17

$4"s"$

Firstly we can get the final velocity of the ball using:

$v^2=u^2+2as$

I will assume $a=5"m/s"^2$

$:.v^2=0+2xx5xx40=400$

$:.v=sqrt(400)=20"m/s"$

Now we can get the time using:

$v=u+at$

$:.20=0+5xxt$

$t=20/5=4"s"$