During launches, rockets often discard unneeded parts. A certain rocket starts f

Question

During launches, rockets often discard unneeded parts. A certain rocket starts from rest on the launch pad and accelerates upward at a steady 3.50 m/s2. When it is 230 m above the launch pad, it discards a used fuel canister by simply disconnecting it. Once it is disconnected, the only force acting on the canister is gravity (air resistance can be ignored). 2. When it is 230 m above the launch pad, it discards a used fuel canister by simply disconnecting it. Once it is disconnected, the only force acting on the canister is gravity (air resistance can be ignored).

QUESTION A

How high is the rocket when the canister hits the launch pad, assuming that the rocket does not change its acceleration?

Answer: y = m

QUESTION B

What total distance did the canister travel between its release and its crash onto the launch pad?

Answer: d = m

Explanation / Answer

a) from the equation

v^2-u^2 = 2a(y-y0)

v^2-0 = 2*3.5(230)

v = 40.12 m/s

y = y0+ut+1/2at^2

0 = 230+40.12*t+1/2*(-9.8)t^2

solving t valuue is t = 12.07 sec

y = 0+0+1/2*3.5(12.07+40.12/3.5)^2 = 969.1 m

b) time to rach the max height

t = 40.12/9.8 = 4.09 sec

y = 230+2(1/2*9.8*4.09^2) = 393.9 m

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