A toy rocket is launched vertically from ground level at time t = 0 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket
Has risen to 49.0 m and acquired an upward velocity of 60.0 m/s. The rocket continues to rise with
Insignificant air resistance in unpowered flight, reaches maximum height, and falls back to the
Ground. The maximum height reached by the rocket is closest to
A) 209 m.
B) 244 m.
C) 256 m.
D) 221 m.
E) 233 m.

Question

Quizplus · Accepted Answer

The rocket's maximum height can be calculated using the kinematic equation: $ v^2 = u^2 + 2as $. At maximum height, the final velocity $ v = 0 $, initial velocity $ u = 60 \, \text{m/s} $, and acceleration $ a = -9.8 \, \text{m/s}^2 $. Solving for $ s $ gives the additional height after burnout. Adding this to the initial 49 m gives approximately 233 m.

A Toy Rocket Is Launched Vertically from Ground Level at Time