When the particle moves from A to M. 1. a) What is the change in vertical velocity? 2. b) What is the change in speed?

Question

The path of projectile from A is shown in the figure. M is the mass of the particle.

When the particle moves from A to M.

1. a) What is the change in vertical velocity?

2. b) What is the change in speed?

3. What is the change in linear momentum?

4. The ceiling of a long hall is 25m high. What is the maximum horizontal distance that a ball thrown with a speed of 40 ms^-1 can go without hitting the ceiling of the hall?

Answer 1

When the particle reaches at M, the vertical component of velocity becomes zero.
change in vertical velocity = u sinθ – 0
= u sinθ

2. change in speed = u cosθ – u

3. change in momentum = mu sinθ – 0
= mu sinθ

4. 

θ = 33°48¹

The horizontal range of the ball is