Classical Mechanics

2D Kinematics

2D Kinematics - Problem Solving


An airplane is taking off on the runway. At the moment the wheels leave the ground, the plane is traveling at 60 m/s 60 \text{ m/s} horizontally. The wings generate a lift which causes a vertical acceleration of 1 m/s2, 1 \text{ m/s}^2 , and the jets produce a horizontal acceleration of 2 m/s2. 2 \text{ m/s}^2 . When the airplane is flying at an altitude of 3200 m, 3200 \text{ m}, what is its horizontal distance from the airport?

The air resistance is negligible.

A hunter aims directly at a target 66 m 66 \text{ m} away, at the same height as the gun. If the bullet is fired at a speed of 66 m/s, 66 \text{ m/s}, by how much will the bullet miss the target?

NOTES: The air resistance is negligible, and the gravitational acceleration is g=10 m/s2.g=10\text{ m/s}^2. You may also assume the bullet does not hit the ground until after passing the target.

A boy throws a ball at 322 m/s 32 \sqrt{2} \text{ m/s} at a 45 45^ \circ angle with the ground. Find the horizontal distance the ball flies.

Gravitational acceleration is g=10 m/s2, g =10 \text{ m/s}^2, and air resistance is negligible.

A ball is thrown horizontally at 16 m/s. 16 \text{ m/s} . If the ball travels a horizontal distance of 80 m 80 \text{ m} before hitting the ground, from what height was the ball thrown?

The gravitational acceleration is g=10 m/s2. g= 10 \text{ m/s}^2.

A car initially at rest accelerates uniformly at a rate of (6 m/s2)i^. (6 \text{ m/s}^2) \hat{i}. If the car travels (108 m)i^, (108 \text{ m}) \hat{i} , what is its final velocity?


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