A rocket test sled accelerates at a constant rate of 15 m/s2 from rest while moving along a straight track. The rocket engine turns off instantly when the sled reaches a speed 30 m/s. The sled then moves freely (acceleration = 0) for a period of 5 s, after which the brakes are automatically applied giving a constant deceleration of -25 m/s2. What is the total time that the sled is moving?
Using 1st equation of motion,
V = u + a t
30 = 0 + 15 x t1
Time, t1 = 2 m/s^2
V = u + at
0 = 30 - 25 t2
Time, t2 = 1.2 sec
Total time, t = 1.2 + 2 + 5 = 8.2 sec
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A rocket test sled accelerates at a constant rate of 15 m/s2 from rest while moving...
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