Wahat is the distance?

Question

A golfer hits a golf ball with an initial velocity of 48 m/s at an angle of 25 degrees with the horizontal. Knowing that the fairway slopes downward at an average angle of 5 degrees, determine the distance d between the golfer and point B where the ball first lands.

Answer 1

The formula for the range (horizontal distance travelled) by a projectile is given by

R = V^2(sin 2A)/g

where

R = range

V = velocity at launch = 48 m/sec.

A = angle of launch = 25 degrees

g = acceleration due to gravity = 9.8 m/sec^2 (constant)

Substituting appropriate values,

R = (48^2)(sin 2*25)/9.8

R = 180.10 meters

Since the fairway slopes downward at angle of 5 degrees, then the point at which the ball lands first will be

Distance = d = 180.10/cos 5

d = 180.79 meters

Answer 2

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