Question

A golfer is teeing off on a long par 3 hole. The ball leaves with a velocity of 40.0 m/s at 50.0° above the horizontal. Assuming that she hits the ball on a direct path to the hole and that there are no bounces or rolls, answer the following questions?

A) Vx*t=dx
B) Sin(50)=Vx/40=Vo+30.6m/s
C) Cos(50)=Vx/40=38.6m
D) Vi-Vo+at
E) 0=30.6+(-10)t

Answer 1

a) true, B) false, C) true, D) true and E) true

Step-by-step explanation:

To answer if the statements are correct we must find the initial speeds

sin 50 =
`v_(oy)` / v

cos 50 = vₓ / v

`v_(oy)` = v sin50

v₀ₓ = v cos 50

`v_(oy)` = 40 sin 50

v₀ₓ = 40 cos 50

`v_(oy)` = 30.6 m / s

v₀ₓ = 25.7 m / s

Let's analyze the questions

A) True. On the x axis there is no acceleration therefore

v₀ₓ = vₓ, vₓ = x/t

x = vₓ t

B) False.
`v_(oy)` = 40 sin50

sin50 =
`v_(oy)` / 40

C) true. vₓ = 40 cos50;

cos 50 = vₓ / 40

D) true if the acceleration is in the direction of the velocity

v = vo + at

E) True vy = voy - gt

maximum point vy = 0

0 = 30.6 - 10 t