Question

In: Physics

In the first stage of a two-stage rocket, the rocket is fired from the launch pad...

In the first stage of a two-stage rocket, the rocket is fired from the launch pad starting from rest but with a constant acceleration of 3.50 m/s2 upward. At 25.0 s after launch, the second stage fires for 10.0 s, which boosts the rocket’s velocity to 132.5 m/s upward at 35.0 s after launch. This firing uses up all the fuel, however, so after the second stage has finished firing, the only force acting on the rocket is gravity. Air resistance can be neglected.

Part A

Find the maximum height that the stage-two rocket reaches above the launch pad.

the answer is 3090m

Part B

How much time after the stage-two firing will it take for the rocket to fall back to the launch pad?

Part C

How fast will the stage-two rocket be moving just as it reaches the launch pad?

Solutions

Expert Solution


Related Solutions

In the first stage of a two-stage rocket, the rocket is fired from the launch pad...
In the first stage of a two-stage rocket, the rocket is fired from the launch pad starting from rest but with a constant acceleration of 3.50 m/s2 upward. At 25.0 s after launch, the second stage fires for 10.0 s, which boosts the rocket�s velocity to 132.5 m/s upward at 35.0 s after launch. This firing uses up all the fuel, however, so after the second stage has finished firing, the only force acting on the rocket is gravity. Air...
A rocket blasts off vertically from rest on the launch pad with a constant upward acceleration...
A rocket blasts off vertically from rest on the launch pad with a constant upward acceleration of 2.10 m/s2 . At 30.0 s after blastoff, the engines suddenly fail, and the rocket begins free fall. What is the height of the rocket when the engine fails? Find the magnitudes of the rocket's velocity and acceleration at its highest point. How long after it was launched will the rocket fall back to the launch pad?
Projectile Motion - From Ground - General Launch Angle A rocket is fired at an initial...
Projectile Motion - From Ground - General Launch Angle A rocket is fired at an initial speed v0 = 160.0 m/s from ground level, at an angle θ = 46° above the horizontal. Ignore air resistance. The magnitude of the gravitational acceleration is 9.8 m/s2. Choose the RIGHT as positive x-direction. Choose UPWARD as psotitive y-direction Keep 2 decimal places in all answers A. Find v0x, the x component of the initial velocity (in m/s) B.Find v0y, the y component...
Projectile Motion - Rocket Clears Wall - General Launch Angle A rocket is fired at an...
Projectile Motion - Rocket Clears Wall - General Launch Angle A rocket is fired at an initial speed v0 = 165.0 m/s from ground level, at an angle θ = 50° above the horizontal. A wall is located at d = 67.0 m. Its heigh is h = 47.0 m. Ignore air resistance. The magnitude of the gravitational acceleration is 9.8 m/s2. Choose the RIGHT as positive x-direction. Choose UPWARD as psotitive y-direction Find v0x, the x component of the...
A 7400 kg rocket blasts off vertically from the launch pad with a constant upward acceleration...
A 7400 kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.15 m/s2 and feels no appreciable air resistance. When it has reached a height of 550 m , its engines suddenly fail so that the only force acting on it is now gravity. a)What is the maximum height this rocket will reach above the launch pad? b)How much time after engine failure will elapse before the rocket comes crashing down to the launch...
A 7800 kg rocket blasts off vertically from the launch pad with a constant upward acceleration...
A 7800 kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.15 m/s2 and feels no appreciable air resistance. When it has reached a height of 575 m , its engines suddenly fail so that the only force acting on it is now gravity. A) What is the maximum height this rocket will reach above the launch pad? b)How much time after engine failure will elapse before the rocket comes crashing down to the...
A 7450 kg rocket blasts off vertically from the launch pad with a constant upward acceleration...
A 7450 kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.25 m/s2 and feels no appreciable air resistance. When it has reached a height of 500 m , its engines suddenly fail so that the only force acting on it is now gravity. A. What is the maximum height this rocket will reach above the launch pad? B. How much time after engine failure will elapse before the rocket comes crashing down to...
A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds...
A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is given by a(t) = 60t ft/s2 , at which time the fuel is exhausted and it becomes a freely “falling” body and falls to the ground. (a) Determine the position function s(t) for all times t > 0. (b) What is the maximum height achieved by the rocket? ( c) At what value of t does the rocket land?
A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds...
A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is a(t)=96t, at which time the fuel is exhausted and it becomes a freely "falling" body. 1919 seconds later, the rocket's parachute opens, and the (downward) velocity slows linearly to −16 ft/s in 5 s. The rocket then "floats" to the ground at that rate. (a) Determine the position function s and the velocity function v(for all times t). v(t)=    if 0≤t≤3    ...
A projectile is launched vertically from a launch pad with an unknown initial velocity, V0. An...
A projectile is launched vertically from a launch pad with an unknown initial velocity, V0. An unknown time, T, later, an observer is in a pickup which is traveling in such a way that the angle of elevation to the projectile is 22° and increasing at 2° per second. When the pickup is 750 m away from the launch pad, it is moving away from the launch pad at 25 m/sec. A) Find the initial velocity, V0. B) Find the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT