Motion in Plane: Rocket lanching and then projectile motion

See the attached file.
A rocket accelerates upward from the ground at 25m.s-2 for 2.5s at an angle of 80o to the horizontal. The rocket motor stops and it eventually falls to the ground.

Neglecting air resistance and assuming that the trajectory during acceleration is a straight line.

a. Make a labeled sketch of the rockets trajectory starting from the launch point. Include the numerical values of the horizontal and vertical velocity at the point where the rocket motor stops.

b. How long after launch does the rocket hit the ground?

c. How far does the rocket travel horizontally from the launch point?

A rocket accelerates upward from the ground at 25m.s-2 for 2.5s at an angle of 80o to the horizontal. The rocket motor stops and it eventually falls to the ground.

Neglecting air resistance and assuming that the trajectory during acceleration is a straight line.

a. Make a labelled sketch of the rockets trajectory starting from the launch point. Include the numerical values of the horizontal and vertical velocity at the point where the rocket motor stops.

b. How long after launch does the rocket hit the ground?

c. How far does the rocket travel horizontally from the launch point?

Answer:
The rocket is moving in a vertical plane ...

Solution Summary

3 parts of motion with rocket and then projectile motion are discussed in the solution.

1) a) Find the angle required to maximize the range down an incline which is pitched at an angle of −θ with respect to the horizontal and the projectile is shot an angle of φ above the incline at a speed of v0 .
b) Determine the distance down the incline at the angle found in a).
c) Plot the trajectory gi

Please see the attached file for full problem description.
A bomb flying in level flight must release its bomb before it is over the target. Neglecting air resistance, which one of the following is NOT true?
see attached.

A rocket is fired at a speed of 75 m/s from ground level, at an angle of 60 degrees above the horizontal. The rocket is fired toward an 11.0 m high wall, which is located 27 m away. By how much does the rocket clear the top of the wall?

In a local bar, a customer slides an empty beer mug down the counter for a refill. The bartender is momentarily distracted and does not see the mug, which slides off the counter and strikes the floor at distance d from the base of the counter. The height of the counter is h.
(a) With what speed did the mug leave the counter?

Scientists are experimenting with a kind of gun that may eventually be used to fire payloads directly into orbit. In one test, this gun accelerates a 5.0-kg projectile from rest to a speed of 4.0 x 10^3 m/s^2. The net force accelerating the projectile is 4.9 x 10^5 N. How much time is required for the projectile to come up to sp

An athlete executing a long jump leaves the ground at a 30.8° angle and travels 7.61 m with a take-off speed of 9.21 m/s. If this speed were increased by just 4.1%, how much longer would the jump be?

A projectile of mass 20.2 kg is fired at an angle of 65.0 degrees above the horizontal and with a speed of 84.0 m/s. At the highest point of its trajectory the projectile explodes into two fragments with equal mass, one of which falls vertically with zero initial speed. You can ignore air resistance.
a) How far from the point

A tennis player standing 12.6 m from the net hits the ball at 3.00 degrees above the horizontal. To clear the net , the ball must rise at least 0.330 m. If the ball just clears the net at the apex of its trajectory, how fast was the ball moving when it left the racket?