Question

A small rocket is launched vertically, attaining a maximum speed at burnout of 1.0 102 m/s and thereafter coasting straight up to a maximum altitude of 1528 m. Assuming the rocket accelerated uniformly while the engine was on, how long did it fire?

and how high was it at engine cutoff?

Answer 1

vf^2 = vo^2 + 2ad

vf = 0 m/s
a = -9.8

0 = 10404 + 2 (9.8)d

10404 = 2 (9.8) d

d = 530.816

1528 - 530.816 = 997.184

Hope this helps