Question

A piñata is 35m away and 5m from the ground. You aim a golf ball a 30 degrees horizontal angle to hit the piñata. Find:

A.) initial speed of the golf ball

B.) how long it takes for the golf ball to hit the piñata.

C.) if the golf ball weighs 0.5kg, find the maximum gravitational potential energy attained by the golf ball-Earth system during the golf ball's flight relative to its launch position.

Answer 1

x = 35 m

x = 35 m

x = ucos(theta)*t

35 = ucos(30)*t ... (1)

from kinematic equation

s = uyt+(1/2)at^2

5 = usin(30)t -(0.5*9.8*t^2) ..(2)

from (1) and (2)

initial velocity u = 23 m/s

(b) t = 1.76 s

(c) m= 0.5 kg

From conseration of energy

Kmax = Umax

Umax = 0.5*mu^2 =0.5*0.5*23^2

Umax =132.25 J

x = ucos(theta)*t

35 = ucos(30)*t ... (1)

from kinematic equation

s = uyt+(1/2)at^2

5 = usin(30)t -(0.5*9.8*t^2) ..(2)

from (1) and (2)

initial velocity u = 23 m/s

(b) t = 1.76 s

(c) m= 0.5 kg

From conseration of energy

Kmax = Umax

Umax = 0.5*mu^2 =0.5*0.5*23^2

Umax =132.25 J