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Questions and Answers
What is the time taken to slide down the ways of a ship that is 900m long, given it takes 4 seconds to slide the first meter?
If a driver travels at 50mph and begins to brake with a deceleration of 6m/s², what distance does the car cover during the driver's perception time of 3 seconds?
What is the maximum height above the ground that a ball reaches when thrown straight up at 10m/s from a height of 2m?
How long does it take for a ball thrown straight up at 10m/s to hit the ground if it starts from a height of 2m?
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During freefall, what determines the maximum speed an object can reach before colliding with the ground?
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If a vehicle is decelerating at 6m/s², how long will it take to come to a stop from a speed of 50mph?
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What is the magnitude of the velocity just before a ball hits the ground after being thrown up at 10m/s?
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What factors can affect the speed of an object in free fall?
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Study Notes
Dynamics of Rigid Bodies
- A ship slides down a ramp with constant acceleration.
- The ship takes 4 seconds to slide the first meter.
- The length of the ramp is 900 meters.
- It takes 2 minutes for the ship to slide the entire length of the ramp.
Free Falling Body
- Freefall is a common phenomenon where an object falls under gravity.
- The object's speed increases as it falls.
- Many factors, such as air resistance, can affect the speed of the object.
Example of Freefall
- A ball is thrown straight up at a speed of 10m/s.
- The ball is released 2 meters above the ground.
- The maximum height reached by the ball is 7.1 meters.
- The ball hits the ground 2.22 seconds after being released.
- The ball's velocity just before hitting the ground is 11.8m/s.
Another Example
- A car traveling at 50mph sees a wall.
- The driver takes 3 seconds to react (perception time).
- The car then brakes at a rate of 6m/sec².
- The distance from the stopping point to the wall is 12m.
- The car was 120.74 meters away from the wall when the driver first perceived it.
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Description
Explore the principles of dynamics concerning rigid bodies and the laws governing free fall. This quiz covers scenarios involving a ship sliding down a ramp and various examples of free fall, including the motion of a ball and a car's stopping distance. Test your understanding of acceleration, gravity, and kinematic equations.
