Question

In: Physics

A rocket is launched at an angle of 50.0° above the horizontal with an initial speed...

A rocket is launched at an angle of 50.0° above the horizontal with an initial speed of 95 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 29.0 m/s2. At this time, its engines fail and the rocket proceeds to move as a projectile.

(a) Find the maximum altitude reached by the rocket.

(b) Find its total time of flight.

(c) Find its horizontal range.

(c) Find its horizontal range.

Solutions

Expert Solution

The answers are in the images. Page number is mentioned at right top. Here the given acceleration of the rocket is a = 29 m/s2 . As not clearly mentioned, as convention, here I consider this acceleration given here is considering the effect of gravitional acceleration, i.e net effect means the acceleration of rocket is given. If it is not, you just need to subtract the value of g from upward acceleration ay i.e (ay - g) = (22.21 - 9.81) = 12.4 as net upward acceleration and do the same method to solve the problem. However, as per problem statement and general convention, my calculation is right.


Related Solutions

A rocket is launched at an angle of 60.0° above the horizontal with an initial speed...
A rocket is launched at an angle of 60.0° above the horizontal with an initial speed of 99 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 29.0 m/s2. At this time, its engines fail and the rocket proceeds to move as a projectile. Find the maximum altitude reached by the rocket. Find its total time of flight. Find its horizontal range.
A rocket is launched at an angle of 57.0° above the horizontal with an initial speed...
A rocket is launched at an angle of 57.0° above the horizontal with an initial speed of 103 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 28.0 m/s2. At this time, its engines fail and the rocket proceeds to move as a projectile. (a) Find the maximum altitude reached by the rocket. (b) Find its total time of flight. (c) Find its horizontal range.
A shell is launched at angle 62° above the horizontal with initial speed 30 m/s. It...
A shell is launched at angle 62° above the horizontal with initial speed 30 m/s. It follows a typical projectile-motion trajectory, but at the top of the trajectory, it explodes into two pieces of equal mass. One fragment has speed 0 m/s immediately after the explosion, and falls to the ground. How far from the launch-point does the other fragment land, assuming level terrain and negligible air resistance?
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 projectile is launched with an initial velocity vo at an angle theta above the horizontal....
A projectile is launched with an initial velocity vo at an angle theta above the horizontal. In terms of vo, theta and acceleration due to gravity g, determine for the projectile i) the time to reach its maximum height and ii) its maximum height.
A rocket is fired into the air at an angle of 25 degrees above the horizontal...
A rocket is fired into the air at an angle of 25 degrees above the horizontal with a velocity of 300 m/s. Using conservation of energy, determin: a. The maximum height the rocket will attain b. The work done in order to get the rocket to this height
A projectile is fried at an angle of 58° above the horizontal at a speed of...
A projectile is fried at an angle of 58° above the horizontal at a speed of 100 m/s. Part A: calculate the magnitude of its velocity at t= 5.0 s Part B: calculate the direction of its velocity (above the horizontal) at t= 5.0s Part C: Calculate the magnitude of its velocity at t= 10s part D: calculate the direction of its velocity (above the horizontal) at t= 10s part E: calculate the magnitude of its velocity at t= 15s...
An object is launched with an initial velocity of 50.0 m/s at a launch angle of...
An object is launched with an initial velocity of 50.0 m/s at a launch angle of 36.9∘ above the horizontal. Determine x-values at each 1 s from t = 0 s to t = 6 s. Determine y-values at each 1 s from t = 0 s to t = 6 s. Determine vx-values at each 1 s from t = 0 s to t = 6 s. Determine vy-values at each 1 s from t = 0 s to...
An object is launched with an initial velocity of 50.0 m/s at a launch angle of...
An object is launched with an initial velocity of 50.0 m/s at a launch angle of 36.9? above the horizontal. A.Determine x-values at each 1 s from t = 0 s to t = 6 s. B.Determine y-values at each 1 s from t = 0 s to t = 6 s. C.Determine vx-values at each 1 s from t = 0 s to t = 6 s. D.Determine vy-values at each 1 s from t = 0 s to...
A projectile is launched at an angle of 60 degrees to the horizontal from 6.5ft above...
A projectile is launched at an angle of 60 degrees to the horizontal from 6.5ft above the ground at an initial speed of 100 ft/sec. Assume the x-axis is horizontal, the positive y axis is vertical (opposite g), the ground is horizontal, and the only gravitational force acta on the object. Answer parts A through D. A) Find the velocity - v(t) and position - r(t) vectors for t greater than or equal to 0. B) Graph the trajectory C)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT