Question

A golf ball is hit so that it leaves the club face at a velocity of 45m/s at an angle of 40° to the horizontal. by ignoring the effect of air resistance and spin on the ball, use the information to answer the question (a) to (d).

a) Calculate the horizontal component of the velocity
b) Determine the vertical component of the velocity.
c) Find the time taken for the ball to reach its maximum height.
d) Calculate the horizontal distance travelled when the ball is at its maximum height.​

Answer 1

Answer:a)45cos40 b)45sin40 c) 2.95 d)102

Step-by-step explanation:

a)
`v_(x) = 45 cos40`

b)
`v_(y)=45sin40`

c) Since air resistance is negligible, the only force acting on the golf ball is gravity. Thus, its vertical acceleration is -g. We know the final velocity must be 0 m/s, because this will be when the golf ball reaches the maximum height and starts to change direction (it falls back to the ground). We also know initial velocity in the vertical direction (see part b). Thus, we can use this equation:
`v_(f) = v_(i) + at`.

`0 m/s = 45sin40 + (-9.8m/s^2)t\\t = 2.95s`

d) The horizontal distance traveled is dependent on (1) how long the ball is in the air and (2) what the horizontal velocity is. (1) was found in part c, and (2) was found in part a.

`x=vt\\x=45cos40(2.95) =102m`