SOLUTION: A rocket beigns from rest and accelerates upward at +0.5m/s^2. a) At what time will the rocket reach a height of 1000 m? b) What will be the rocket's velocity at that point?

Question 1163809: A rocket beigns from rest and accelerates upward at +0.5m/s^2.
a) At what time will the rocket reach a height of 1000 m?
b) What will be the rocket's velocity at that point?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A rocket beigns from rest and accelerates upward at +0.5m/s^2.
a) At what time will the rocket reach a height of 1000 m?
h(t) = at^2/2
at^2/2 = 1000
0.5*t^2 = 1000
t^2 = 2000
t = sqrt(2000) seconds
===============
b) What will be the rocket's velocity at that point?
v = a*t = 0.5*sqrt(2000) m/sec
RELATED QUESTIONS
A rocket beigns from rest and accelerates upward at +0.5m/s^2. a) At what time will the... (answered by htmentor)

Two rockets having the same acceleration start from rest, but rocket A travels for twice... (answered by solver91311)

JP launches a rocket straight upwards from a height of 20 feet above the ground with an... (answered by ikleyn,addingup)

JP launches a rocket straight upwards from a height of 20 feet above the ground with an... (answered by Alan3354)

A rocket is launched from ground level with an initial velocity of 224 ft/s. The height... (answered by richwmiller)

JP launches a rocket straight upwards from a height of 20 feet above the ground with an... (answered by Alan3354)

The function s = -16t^2 + 64t + 512 gives the position (in feet) of a rocket fired upward (answered by josmiceli)

A rocket is shot into the air can be modeled by the equation y= -16x^2 + 420x + 250,... (answered by stanbon)