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 1 year 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 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

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...

A test rocket is launched, starting on the ground, from rest, by accelerating it along an incline with constant acceleration "a". The incline ha

A test rocket is launched, starting on the ground, from rest, by accelerating it along an incline with constant acceleration "a". The incline has length "L", and it rises at ? degrees above the horizontal. At the instant the rocket leaves the incline, its engines turn off and it is subject only to gravity, g?+9.81m/s2. (Air resistance can be ignored). Taking the usual x-y coordinate system, with an origin at the top edge of the incline, (a)what is the position vector when the rocket is at its highest point? (b)What is the position vector when the rocket is on its way back down and once again at the same height as the top edge of the incline? Your symbolic answer should only depend on a, L,?, g, and/or numerical factors Asked by

A Honda Civic travels in a straight line along a road. Its distance x from a...

A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x(t)= α t2− β t3, where α = 1.44 m/s2 and β = 5.00×10−2 m/s3 a. Calculate the average velocity of the car for the time interval t=0 to t1 = 1.95 s . b. Calculate the average velocity of the car for the time interval t=0 to t2 = 3.96...

Subjects