Physics

posted by .

A rocket is fired vertically with an upward acceleration of 30 m/s2. After 20 s, the engine shuts off and the rocket then continues rising (while in free-fall). The rocket eventually stops rising and then falls back to the ground.
(a) What is the highest point the rocket reaches?
(b) What is the total time the rocket is in the air?
(c) What is the speed of the rocket just before it hits the ground?

  • Physics -

    Start by computing the velocity and altitude achieved while the engine is on. Then write the equation for height and velocity during free fall. It's not that hard.

    When the velocity is zero during the free fall stage, maximum height has been reached. Solve for that time, and the altitude reached then. So much for (a). For (b), solve for the time when the altitude is zero.

    For (c), a shortcut would be to take the kinetic energy and altitude H at burnout, add 2gH to V^2 at burnout, and solve for the new V^2 at impact

    Show us your work if you need further assistance here.

  • Physics -

    2906.1

  • Physics -

    203839

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    A rocket blasts off vertically from rest on the launch pad with an upward acceleration of 2.30 . At 10.0 after blastoff, the engines suddenly fail, which means that the force they produce instantly stops. How high above the launch …
  2. Math

    A model rocket blasts off and moves upward with an acceleration of 12 m/s^2 until it reaches a height of 28 m , at which point its engine shuts off and it continues its flight in free fall. What is the speed of the rocket just before …
  3. physics

    You have designed a rocket to be used to sample the local atmosphere for pollution. It is fired vertically with a constant upward acceleration of 19 m/s2. After 23 s, the engine shuts off and the rocket continues rising (in freefall) …
  4. physics

    a rocket blasts off and moves up with an acceleration of 12 m/s2 until it reaches 30 m then the engine shuts down and the rocket continues in free fall. What is the max hieght of the rocket and what is the total duration of the rockets …
  5. Physics

    A rocket of mass 1.0x10^3kg is being fired to a height of 5.0 x 10^3 m. The rocket engine shuts off when the rocket reaches a height of 1.0x10^3m, and the rocket coasts up to 5.0 x 10^3 m. A) What velocity must the rocket have at the …
  6. Physics

    A test rocket is launched vertically from ground level (y=0m), 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 97 m and acquired …
  7. physics

    Help please ! been stuck on this for hours. A model rocket blasts off and moves upward with an acceleration of 13m/s^2 until it reaches a height of 25m , at which point its engine shuts off and it continues its flight in free fall. …
  8. physics

    You have designed a rocket to be used to sample the local atmosphere for pollution. It is fired vertically with a constant upward acceleration of 15 m/s2. After 21 s, the engine shuts off and the rocket continues rising (in freefall) …
  9. physics

    You have designed a rocket to be used to sample the local atmosphere for pollution. It is fired vertically with a constant upward acceleration of 17 m/s2. After 20 s, the engine shuts off and the rocket continues rising (in freefall) …
  10. physics

    You have designed a rocket to be used to sample the local atmosphere for pollution. It is fired vertically with a constant upward acceleration of 17 m/s2. After 20 s, the engine shuts off and the rocket continues rising (in freefall) …

More Similar Questions