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

Answer:

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

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