Question

In: Physics

a toy rocket is fired fired at rest vertically upwards and accelerates at a constant rate....

a toy rocket is fired fired at rest vertically upwards and accelerates at a constant rate. At the instant the engine cuts out, the rocket has risen to 52 m and acquired a velocity of 80 m/s. The rocket continues to rise in unpowered flight, reaches maximum height, and falls back to the ground with negligible air resistance. The speed of the rocket upon impact on the ground is closest to

Solutions

Expert Solution


Related Solutions

A rocket, initially at rest on the ground, accelerates upward with a constant acceleration of 94.0...
A rocket, initially at rest on the ground, accelerates upward with a constant acceleration of 94.0 m/s2 until it reaches a speed of 1.50×102 m/s when the engines are cut off. After that the rocket is in free-fall. What is the maximum height reached by the rocket ? What total time elapses between take-off and the rocket hitting the ground?
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 toy car starts from rest and accelerates on a straight road at a rate of...
A toy car starts from rest and accelerates on a straight road at a rate of 3m/s^2 for 5 seconds. In the next 2 seconds, it continues to move at a constant speed. Finally, it accelerates at a rate of 2m/s^2 until it stops in the rest of the rest of the time. Find its a.) Displacement b.) Speed at t=6 seconds c.) plot the following graphs: I. x vs. t II. v vs. t III. a vs. t
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?
Suppose a rocket ship accelerates upwards with acceleration equal in magnitude to twice the magnitude of...
Suppose a rocket ship accelerates upwards with acceleration equal in magnitude to twice the magnitude of g (we say that the rocket ship accelerations upwards at 2g), but runs out of fuel after 100 seconds, after which point it stops accelerating upward. At this point, the rocket begins accelerating downwards with a magnitude of g. Assume that the gravitational pull of the Earth on the rocket doesn't change with altitude. a)How high above the surface of the Earth does the...
A rocket is fired vertically upward. At the instant it reaches an altitude of 1450 m...
A rocket is fired vertically upward. At the instant it reaches an altitude of 1450 m and a speed of 265 m/s, it explodes into three equal fragments. One fragment continues to move upward with a speed of 292 m/s following the explosion. The second fragment has a speed of 396 m/s and is moving east right after the explosion. What is the magnitude of the velocity of the third fragment? Answer in units of m/s
At the base of a vertical cliff, a model rocket, starting from rest, is launched upwards...
At the base of a vertical cliff, a model rocket, starting from rest, is launched upwards at t = 0 with a time-varying acceleration given by ay(t) = A - Bt (3) where A and B are positive constants. Also at t = 0, a small stone is released from rest from the top of the cliff at a height h directly above the rocket. (This heighth is higher than the maximum height reached by the rocket.) The stone hits...
A lift accelerates upwards from rest to a speed of 5.5 m s−1 in a certain...
A lift accelerates upwards from rest to a speed of 5.5 m s−1 in a certain time, ∆t. At that time, the ratio of its kinetic energy to the gravitational potential energy it has acquired is 0.33. What is the value of the time interval, ∆t?
a). A prototype car starts from rest and accelerates at a constant rate to 30 m/s...
a). A prototype car starts from rest and accelerates at a constant rate to 30 m/s in 5.6 seconds. How much distance did the car travel during the 5.6-second accelerated motion? b). A car was parked on the side of a hillside road at the top of a hill. Unbeknown to the owner, its parking brake failed and tremors from nearby construction set it in motion with negligible initial speed down the hill. Assume the acceleration was constant down the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT