Question

In: Mechanical Engineering

A rocket is fired from rest at x=0 and travels along a parabolic trajectory described by...

A rocket is fired from rest at x=0 and travels along a parabolic trajectory described by y2=[120(10^3)x]m.

Part A

If the x component of acceleration is ax=(1/4t^2)m/s^2, where t is in seconds, determine the magnitude of the rocket's velocity when t = 8 s.

Express your answer using three significant figures and include the appropriate units.
v =

SubmitRequest Answer

Part B

Determine the magnitude of the rocket's acceleration when t = 8 s.

Express your answer using three significant figures and include the appropriate units.
a =

SubmitRequest Answer

Solutions

Expert Solution

samet mamat answered 3 years ago
Next > < Previous

Related Solutions

A model rocket is fired from the ground in a parabolic arc. At the very top...
A model rocket is fired from the ground in a parabolic arc. At the very top of the arc, at a horizontal displacement of 260 m from the launch point, an explosion occurs within the rocket, breaking it into two fragments which separate from each other. One fragment, having 1/3 the mass of the rocket, falls straight down to Earth as if it were at rest at that moment right after the explosion.  Determine the total horizontal displacement from the launch...
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
A test rocket starting from rest at point A is launched by accelerating it along a...
A test rocket starting from rest at point A is launched by accelerating it along a 200.0-m incline at 1.80 m/s2 (Figure 1).The incline rises at 35.0∘ above the horizontal, and at the instant the rocket leaves it, its engines turn off and the rocket is subject to gravity only (ignore air resistance). a) Find the maximum height above the ground that the rocket reaches. b) Find the rocket's greatest horizontal range beyond point A.
A rocket is fired straight upward, starting from rest with an acceleration of 25.0 m/s2. It...
A rocket is fired straight upward, starting from rest with an acceleration of 25.0 m/s2. It runs out of fuel at the end of 4.00 s and continues to coast upward, reaching a maximum height before falling back to Earth. (a) Find the rocket’s height when it runs out of fuel; (b) find the rocket’s velocity when it runs out of fuel; (c) find the maximum height the rocket reaches; (d) find the rocket’s velocity the instant before the rocket...
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    ...
Suppose a rocket-propelled motorcycle is fired from rest horizontally across a canyon 1.20 km wide. (a)...
Suppose a rocket-propelled motorcycle is fired from rest horizontally across a canyon 1.20 km wide. (a) What minimum constant acceleration in the x-direction must be provided by the engines so the cycle crosses safely if the opposite side is 0.780 km lower than the starting point? m/s2 (b) At what speed does the motorcycle land if it maintains this constant horizontal component of acceleration? Neglect air drag, but remember that gravity is still acting in the negative y-direction. m/s
Suppose a rocket-propelled motorcycle is fired from rest horizontally across a canyon 1.30 km wide. (a)...
Suppose a rocket-propelled motorcycle is fired from rest horizontally across a canyon 1.30 km wide. (a) What minimum constant acceleration in the x-direction must be provided by the engines so the cycle crosses safely if the opposite side is 0.660 km lower than the starting point? m/s2 (b) At what speed does the motorcycle land if it maintains this constant horizontal component of acceleration? Neglect air drag, but remember that gravity is still acting in the negative y-direction. m/s
Let C be the closed path that travels from (0, 0) to (1, 1) along y...
Let C be the closed path that travels from (0, 0) to (1, 1) along y = x^2 , then from (1, 1) to (0, 2) along y = 2 − x^ 2 , and finally in a straight line from (0, 2) to (0, 0). Evaluate Z C e ^3−x √ 3 − x ) dx + (5x − y √ y^2 + 2) dy
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...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT