Question

A basketball is shot with a velocity of 8.5 m/s at 50° above the horizontal. It falls through the basket at a height of 1.20 m above the release point of the ball. What is the horizontal distance of the basket from the shooter?

a) 4.78 m

b) 5.18 m

c) 6.05 m

d) 6.96 m

e) 7.92 m

Answer #1

Given is:-

Initial velocity of the ball

angle with the horizontal

Height of the basket from the release point h=1.20m

Now,

The component of the velocity

and

and

there is only gravitation force is working in the vertical direction thus

applying third equaiton of motion to find the final velocity

by plugging all the values we get

The negative sign shows that the velocity is downwards when it moves throuhg basket.

time taken by

thus the horizontal distance will be

Hence the horizontal distance of the basket from the shooter is 6.06 meters hence option -C is correect answer.

A basketball is shot from an initial height of 2.40 m with an
initial speed v0 = 14 m/s directed at an angle θ0 = 30 ∘ above the
horizontal. How far from the basket was the player if he made a
basket? At what angle to the horizontal did the ball enter the
basket?

A golfer hits a shot to a green that is elevated 3.00 m above
the point where the ball is struck. The ball leaves the club at a
speed of 17.1 m/s at an angle of 52.0? above the horizontal. It
rises to its maximum height and then falls down to the green.
Ignoring air resistance, find the speed of the ball just before it
lands.
-- the answer is not 11.07 m/s --

A golfer hits a shot to a green that is elevated 3.30 m above
the point where the ball is struck. The ball leaves the club at a
speed of 19.3 m/s at an angle of 35.0˚ above the horizontal. It
rises to its maximum height and then falls down to the green.
Ignoring air resistance, find the speed of the ball just before it
lands.

A golfer hits a shot to a green that is elevated 2.60 m above
the point where the ball is struck. The ball leaves the club at a
speed of 19.0 m/s at an angle of 51.0˚ above the horizontal. It
rises to its maximum height and then falls down to the green.
Ignoring air resistance, find the speed of the ball just before it
lands.

A golfer hits a shot to a green that is elevated 3.20 m above
the point where the ball is struck. The ball leaves the club at a
speed of 18.1 m/s at an angle of 49.0˚ above the horizontal. It
rises to its maximum height and then falls down to the green.
Ignoring air resistance, find the speed of the ball just before it
lands.

A golfer hits a shot to a green that is elevated 2.50 m above
the point where the ball is struck. The ball leaves the club at a
speed of 17.6 m/s at an angle of 53.0˚ above the horizontal. It
rises to its maximum height and then falls down to the green.
Ignoring air resistance, find the speed of the ball just before it
lands.

A golfer hits a shot to a green that is elevated 2.60 m above
the point where the ball is struck. The ball leaves the club at a
speed of 19.2 m/s at an angle of 48.0˚ above the horizontal. It
rises to its maximum height and then falls down to the green.
Ignoring air resistance, find the speed of the ball just before it
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point where the ball is struck. The ball leaves the club at a speed
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A golfer hits a shot to a green that is elevated 2.70 m above
the point where the ball is struck. The ball leaves the club at a
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A basketball leaves a player's hands
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initial speeds allowed to make the basket?

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