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**

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