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Physics Problems: Velocity, Impact, Speed

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a) Mr. Stick lives on the planet Teflon where the force due to gravity is different than that of Earth. Mr. Stick drops a small water balloon off the top of a building (V0 = 0 m/s). He releases the balloon at a height H = 10 m above the surface of Teflon. The balloon hits the ground 1.8 seconds after it is dropped and has a velocity V1 on impact. (Neglect Teflonian air resistance.)
What is the acceleration due to gravity on the planet Teflon?

b) Peyton Manning, a football quarterback, is traded from the Denver Broncos to the Telfonian Space Nerds. If he can throw a football at a speed of 29 m/s at a horizontal angle of 30 degrees, how much further and higher does he throw the ball after he moves from Earth to Telfon?

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Solution Preview

Earth gravity g is just a special case of constant acceleration.
Let's denote the gravitational acceleration on the planet as
The equations of motions for free are identical to that of the equation of motion on earth, only the value of the acceleration changes.
The vertical displacement (positive indicating upward pointing quantity) is:
(1.1)
Where is the initial velocity, is the initial height and t is the time elapsed.
In our case the object starts its fall from rest - no initial velocity ( ).
Hence we can write:
(1.2)
Solving for we obtain:

(1.3)
All that is left is to plug in the numbers.

The initial height is ...

Solution Summary

Velocity, impact and speed is examined.

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Physics Questions on Impact, Speed, Acceleration

1. In her Mustang, Kelly rounds a curve onto a straight section of country road while traveling at 45 mph, only to find a fully loaded manure spreader completely blocking the road 37 m ahead of her. Startled, she travels at a constant velocity for 0.80 s of reaction time, then hits the brakes and slows with a constant acceleration so that she manages to stop just short of the spreader. With the same reaction time and acceleration, if she had raced around the corner at 60 mph instead of 45 mph, (a) How fast would she have been going when she hit the spreader? (b) How much time would she have for her life to flash before her eyes from the time she first sees the spreader until she hits it?

4. Sam heaves a 16-lb shot straight upward, giving it a constant upward acceleration from rest of 45.0 m/s2 over a distance of 64.0 cm. He releases it 2.20 m above the ground. (a) What is the speed of the shot when he releases it? (b) How high above the ground does it go? (c) How much time does he have to get out of its way before it returns to the height of the top of his head, 1.83 m above the ground?

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