Question

1) In an official NBA basketball court, the 3 point line is 7.24m from a point directly below the basket, and the basket is 3.05 meters off of the ground. If you constructed a device that could launch a basketball from ground level at an angle of 30° above the horizon, how fast should the ball be launched in order to make a 3 point shot?

2) 4.5 billion years ago, the Earth's day was 4 hours long. If the Earth has had, and will continue to have, a constant angular acceleration, when will it stop spinning?

3) A 5kg ball is thrown straight upward with a speed of 60m/s. If air resistance provides a consistent 10N force against the direction of motion, when will the ball return to the point it was thrown from?

4) In question 3, how much total work will have been done by air resistance?

Answer #1

The solution of the problem is given below

A player launches a basketball into the air, and it sails across
the court, before falling through the hoop with a speed of 2m/s.
The basketball has a mass of 600g.
i. If the rim is 3.00m above the ground, and the player jumps
and shoots from a point 2.50m above the ground, how much work will
the player have done on the ball?
ii. If the vertical component of the velocity as the ball falls
through the hoop is...

The free throw line in basketball is 4.57 m (15 ft) from the
basket, which is 3.05 m (10 ft) above the floor. A player standing
on the free throw line throws the ball with an initial speed of
7.40 m/s, releasing it at a height of 2.56 m above the floor. At
what angle above the horizontal must the ball be thrown to exactly
hit the basket? Note that most players will use a large initial
angle rather than...

In the 1970 National Basketball Association championship, Jerry
West made a 60 ft60 ft shot from beyond half court to lead the Los
Angeles Lakers to an improbable tie at the buzzer with the New York
Knicks. Suppose West threw the ball at an angle of 55.0∘55.0∘ above
the horizontal. The basket is 10 ft10 ft from the court floor.
Neglecting air resistance, estimate the initial speed of the ball.
(The Knicks won the game in overtime.)
initial speed:
ms

In the 1970 National Basketball Association championship, Jerry
West made a 60 ft shot from beyond half court to lead the Los
Angeles Lakers to an improbable tie at the buzzer with the New York
Knicks. Suppose West threw the ball at an angle of 45.0∘ above the
horizontal. The basket is 10 ft from the court floor. Neglecting
air resistance, estimate the initial speed of the ball. (The Knicks
won the game in overtime.) What was the INITIAL SPEED...

1. Ball A was released from the cliff of height H; ball B was
released from the cliff of height 2H. The ratio of velocity of ball
B to ball A just before they hit the ground is: A) 2 B) 2 1/2 C) 1
D) sqrt(2) E) 1/sqrt(2)
2. Object is thrown up with some initial velocity. No air
resistance is present. We can conclude that:
a) Acceleration on the way up is greater than acceleration on
the way...

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