Map sapling learning A seasoned mini golfer is trying to make par on a tricky ho

Question

Map sapling learning A seasoned mini golfer is trying to make par on a tricky hole #5. The golfer can complete the hole by hitting the ball from the flat section it lays on, up a 45 ramp launching the ball into the hole which is d- 1.00 m away from the end of the ramp. If the opening of the hole and the end of the ramp are at the same height, y 0.650 m, at what speed must the golfer hit the ball to land the ball in the hole? Assume a frictionless surface (so the ball slides without rotating). The acceleration due to gravity is 9.81 m/s k 1.00 m Number 0.650 m 45

Explanation / Answer

after leavinh contact with incline ball will go at angle of 45 degrees.

now this projectile land on the same level as a distance of 1 m from it.

and Range for same level projectile R = u^2 sin(2@) / g

1 = v^2 sin(2 x 45) / 9.81

v = 3.13 m/s

Suppose golfer hits the ball with speed u at bottom then using work energy theorem,

mgh + mv^2 /2 = mu^2 /2

9.81 x 0.650 + 3.13^2 /2 = u^2 /2

u = 4.75 m/s

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