An ice sled powered by a rocket engine starts from rest on a large frozen lake and accelerates at +13.0 m/s^2. At t1 the rocket shut down and the sled moves with constant velocity v until t2. The total distance traveled by the sled is 5.30 x 10^3m and the total time is 90s. Find t1, t2, and v.

2 answers

Write an equation for distance travelled (X) vs times t1 and t2.

Call it X(t1,t2) = 5300 m

v = 13.0 t1

You also know that t1 + t2 = 90

Solve the three equations in three unkowns.
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