A toy rocket is traveling to the right at 15.0 m/s when it undergoes a constant acceleration 3.00 m/s^2 to the left

how long does it take before the rocket stops moving to the right?
what distance does the rocket travel before it stops moving to the right?
what distance does it travel in 7.00s?

can anyone help me with this? if you could tell me what formulas to use that would be great and also...if you could tell me if is the rocket slowing down? since it's traveling to the right but the acceleration is to the left? would that be right?

1 answer

The rocket will lose 3m/s of its rightward motion each second the deceleration rate of 3m/s^2 is applied. The rocket will cease motion to the right in 15/3 = 5 seconds.

It will travel
s = Vo(t) - a(t^2)/2
s = 15(5) - 3(5^2)/2 = 37.5m.