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A test rocket at ground level is fired straight up from rest with a net upward acceleration of 20 m/s2. After 4.0 s, the motor turns off, but the rocket continues to coast upward with insignificant air resistance. What maximum elevation does the rocket reach?

Answer :

ONYEBUCHINNAJIGO

The maximum elevation the rocket will reach is 160 m.

Maximum height attained by the rocket

The maximum height reached by the rocket is calculated as follows;

h = vt + ¹/₂at²

where;

  • v is the initial velocity of the rocket = 0
  • t is the time of motion
  • a is the acceleration of the rocket

substitute the given parameters and solve for maximum height.

h = 0  +  ¹/₂(20)(4)²

h = 160 m

Thus, the maximum elevation the rocket will reach is 160 m.

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