Question

In: Physics

A catapult launches a test rocket vertically upward from a well, giving the rocket an initial...

A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 80.8 m/s at ground level. The engines then fire, and the rocket accelerates upward at 4.20 m/s2 until it reaches an altitude of 990 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of −9.80 m/s2. (You will need to consider the motion while the engine is operating and the free-fall motion separately.)

(a) For what time interval is the rocket in motion above the ground?

(b) What is its maximum altitude?

(c) What is its velocity just before it hits the ground?

Solutions

Expert Solution

genius_generous answered 3 months ago
Next > < Previous

Related Solutions

A catapult launches a test rocket vertically upward from a well, giving the rocket an initial...
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 79.4 m/s at ground level. The engines then fire, and the rocket accelerates upward at 3.90 m/s2 until it reaches an altitude of 1200 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of −9.80 m/s2. (You will need to consider the motion while the engine is operating and the free-fall motion separately.) (a)...
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial...
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 79.2 m/s at ground level. The engines then fire, and the rocket accelerates upward at 3.90 m/s2 until it reaches an altitude of 1060 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of −9.80 m/s2. (You will need to consider the motion while the engine is operating and the free-fall motion separately.) (a)...
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial...
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 80.8 m/s at ground level. The engines then fire, and the rocket accelerates upward at 4.20 m/s2 until it reaches an altitude of 990 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of ❝9.80 m/s2. (You will need to consider the motion while the engine is operating and the free-fall motion separately.) (a)...
A catapult launches a rocket at an angle of 49.6° above the horizontal with an initial...
A catapult launches a rocket at an angle of 49.6° above the horizontal with an initial speed of 112 m/s. The rocket engine immediately starts a burn, and for 3.58 s the rocket moves along its initial line of motion with an acceleration of 32.5 m/s2. Then its engine fails, and the rocket proceeds to move in free-fall. (a) Find the maximum altitude reached by the rocket. m (b) Find its total time of flight. s (c) Find its horizontal...
A rocket takes off vertically from the launchpad with no initial velocity but a constant upward...
A rocket takes off vertically from the launchpad with no initial velocity but a constant upward acceleration of 2.5 m/s^2. At 10 s after takeoff, the engines fail completely so the only force on the rocket from then on is the pull of gravity. A) What is the maximum height the rocket will reach above the launchpad? B) How long after engine failure does it take for the rocket to crash back down?
A rocket takes off vertically from the launchpad with no initial velocity but a constant upward...
A rocket takes off vertically from the launchpad with no initial velocity but a constant upward acceleration of 2.25 m/s2 . At 15.4s after blastoff, the engines fail completely so the only force on the rocket from then on is the pull of gravity (free fall). a) What is the maximum height the rocket will reach above the launchpad? b) How fast is the rocket moving at the instant before it crashes onto the launchpad? c) How much longer after...
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 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 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 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...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT