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Problem 1: A coin is dropped from a hot air balloon that is 300 m above the ground and rising at 10 m/s upward. For

Problem 1:

A coin is dropped from a hot air balloon that is 300 m above the ground and rising at 10 m/s upward. For the coin, find

  1. The maximum height reached.
  2. Its position and velocity 4 s after being released.
  3. The time before it hits the ground.
  4. Problem 2:

    Two cars start moving from the same point. One travels south at 70 m/hr, the other west at 55 m/ht. How far apart are they two hours later?

    Problem3:

    An instrument is thrown upward with a speed of 15m/s on the surface of a planet X where the acceleration due to gravity is 2.5 m/s² and there is no atmosphere. How long does it take for the instrument to return to where it was thrown?

    Problem 4:

    A ball thrown horizontally from a point 24 m above the ground, strikes the ground after travelling horizontally a distance of 18 m. With what speed was it thrown? Assume negligible air resistance

Problem5: 

A girl throws a rock horizontally with a velocity of 10 m/s, from a bridge. It falls 20 m to the water below. How far does the rock travel horizontally before striking the water?

Problem 6:

A stone is dropped from a tower 100 meters above the ground. The stone falls past ground level and into a well. It hits the water at the bottom of the well 5.00 seconds after being dropped from the tower. Calculate the depth of the well. Given: g=-9.81 m/ s²

Problem 7:

Lisa and Darrell both walk to their homes from the same school at the same speed. If Lisa walks for 14 minutes and Darrell walks for 21 minutes, how long would it take to walk from Lisa's place to Darrell's?

Problem 8:

A body starts from rest and accelerates uniformly at 5m/ s². Calculate the time taken by the body to cover a distance of 1km

Problem 9:

A stone projected horizontally from height of 45m with speed of 20m/s find time to reach the ground.

Problem 10:

An airplane requires 420 m of runway to take off from an airstrip. If the plane starts from the rest and it takes 32 s to lift off, with what velocity does it leave the ground? What was the average acceleration of the plane?

Problem 11:

Baseball of mass 60 g is dropped from the height of 2 m. What is the terminal velocity of the ball when it hits the ground?

Problem 12:

A car is traveling at 43.57 mph. The driver applies the brakes and the car decelerates at 2.15 m/s2. What is the stopping distance in meters?

Problem 13:

A car is moving along a straight line with initial velocity of 20 m/s and constant acceleration equal to 5 m/ s². Find the final speed after the car has moved 200 m

Problem 14:

A boat takes 2.9 hrs to travel 10 km down a river, then 6.3 hr to return.

Determine the speed of the water in the river.

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The detailed answer for the above question is provided below Solution Initial velocity of the coin u velocity of the air balloon 10 ms upward Final velocity of the coin v0 Maximum height reachedh Now ... blur-text-image
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