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
genius_generous answered 1 year agoRelated 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 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
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?
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). 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...
a). A prototype car starts from rest and accelerates at a constant rate to 60 m/s...
a). A prototype car starts from rest and accelerates at a
constant rate to 60 m/s in 4.1 seconds. How much distance did the
car travel during the 4.1-second accelerated motion?
b). A single-engine air plain starts its engine at one end of
the runway. It accelerates at a constant rate and takes off at 36
m/s after 29 seconds on the runway, just as it is running out of
runway. How long is the runway?
c). An object is...
2. A rocket is fired vertically with an upward acceleration of 20 m/s2. After 25 s,...
2. A rocket is fired vertically with an upward acceleration of
20 m/s2. After 25 s, the engine shuts off and the rocket
continues as a free particle.
(a) Find the highest point the rocket reaches.
(b) Find the total time the rocket is in the air.
(c) Draw the graph acceleration versus time for the motion.
d) Draw the graph velocity versus time for the motion.
(e) Draw the graph position versus time for the motion.
(f) On each...
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