1) A model rocket is fired vertically from rest. It has a net acceleration of 19

Question

1) A model rocket is fired vertically from rest. It has a net acceleration of 19.0 m/s2. After 1.6 s, its fuel is exhausted and its only acceleration is that due to gravity.

2) A 0.700-kg ball is on the end of a rope that is 2.20 m in length. The ball and rope are attached to a pole and the entire apparatus, including the pole, rotates about the pole's symmetry axis. The rope makes an angle of 70.0

A model rocket is fired vertically from rest. It has a net acceleration of 19.0 m/s2. After 1.6 s, its fuel is exhausted and its only acceleration is that due to gravity. Ignoring air resistance, how high does the rocket travel?

Explanation / Answer

1) for first 1.6 sec

h1 = at^2/2 = 19 x 1.6^2 /2   =24.32 m

after that

v = at = 30.4 m/s

h2 =v^2/2g =47.15 m

h =h1 + h2 =71.47 m

b) aftter 1.6 sec

usingh h = ut + at^2/2

-24.32 = 30.4t - 9.8t^2 /2

solving t =6.92 sec

ttotal = 6.92 +1.6 =8.52 sec

2) Tcos70 = mg = 0.7 x 9.8 = 6.86

T =20.06 N

Tsin70 = 0.7 x v^2/2.2 x sin70

v =7.46 m/s

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