An ice sled powered by a rocket engine starts from rest on a large frozen lake and accelerates at $ +13.0 \, \text{m/s}^2 $. At $ t_1 $, the rocket engine is shut down and the sled moves with constant velocity $ v $ until $ t_2 $. The total distance traveled by the sled is $ 5.30 \times 10^3 \, \text{m} $ and the total time is $ 90.0 \, \text{s} $.

Question

An ice sled powered by a rocket engine starts from rest on a large frozen lake and accelerates at $ +13.0 \, \text{m/s}^2 $. At $ t_1 $, the rocket engine is shut down and the sled moves with constant velocity $ v $ until $ t_2 $. The total distance traveled by the sled is $ 5.30 \times 10^3 \, \text{m} $ and the total time is $ 90.0 \, \text{s} $.(a) Find $t_1$
, (b) Find $t_2$ and the time the sled spends moving at constant velocity, $t_2 &#8211; t_1$.
, (c) Find $v$
:

Jason · Accepted Answer

$ t_1 = 4.65 \, \text{s} $
$ t_2 = 85.35 \, \text{s} $
$ v = 60.5 \, \text{m/s} $

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