A golf ball is driven at a speed of 75.0m/s at an angle of 35.0 degrees as measured from the ground. The gold ball lands 15.0m below the elevation the ball started from. Calculate:
The vertical and horizontal component of the ball's velocity just before it hits the ground.
The velocity with which the ball hits the ground?
The Range of the ball?
I just need help getting started with the question.. how would I set it up to solve it? The only part confusing me is that the ball lands 15.0 m below the elevation it starts from :/ thanks in advance!
The vertical and horizontal component of the ball's velocity just before it hits the ground.
The velocity with which the ball hits the ground?
The Range of the ball?
I just need help getting started with the question.. how would I set it up to solve it? The only part confusing me is that the ball lands 15.0 m below the elevation it starts from :/ thanks in advance!
-
let time be t
vertical motion
s = ut + 0.5 at^2
- 15 = 75 sin 35 t - 0.5 * 9.81 * t^2
4.905 t^2 - 43.02 t - 15 =0
t = { 43.02 + sq root[2145] }/ 9.81 = 9.11s
t1 = { 43.02 - sq root[2145] }/ 9.81 not valid
The Range of the ball
= 75 * cos 35 * 9.11
m
answer
horizontal component of the ball's velocity just before it hits the ground
= 75 cos 35 m/s
answer
v= u +at
v = 75 sin 35 - 9.81 * 9.11 m/s
answer
vertical component of the ball's velocity just before it hits the ground
velocity with which the ball hits the ground
= square root [ vertical^2 + horizontal^2 component of the ball's velocity just before it hits the ground]
m/s
answer
vertical motion
s = ut + 0.5 at^2
- 15 = 75 sin 35 t - 0.5 * 9.81 * t^2
4.905 t^2 - 43.02 t - 15 =0
t = { 43.02 + sq root[2145] }/ 9.81 = 9.11s
t1 = { 43.02 - sq root[2145] }/ 9.81 not valid
The Range of the ball
= 75 * cos 35 * 9.11
m
answer
horizontal component of the ball's velocity just before it hits the ground
= 75 cos 35 m/s
answer
v= u +at
v = 75 sin 35 - 9.81 * 9.11 m/s
answer
vertical component of the ball's velocity just before it hits the ground
velocity with which the ball hits the ground
= square root [ vertical^2 + horizontal^2 component of the ball's velocity just before it hits the ground]
m/s
answer