A toy rocket is launched vertically from ground level (y = 0 m),at time t = 0.0 s.The rocket engine provides constant upward acceleration during the burn phase.At the instant of engine burnout,the rocket has risen to 49 m and acquired a velocity of 60 m/s.The rocket continues to rise in unpowered flight,reaches maximum height,and falls back to the ground.The maximum height reached by the rocket is closest to:
A)233 m
B)221 m
C)209 m
D)244 m
E)256 m

Question

Quizplus · Accepted Answer

Using the kinematic equation $v^2 = u^2 + 2as$, where $v = 0$ at maximum height, $u = 60 \, \text{m/s}$, and $a = -9.8 \, \text{m/s}^2$, we find the additional height after burnout is 184 m. Adding the initial 49 m gives a total height of 233 m.

A Toy Rocket Is Launched Vertically from Ground Level (Y