Classical Mechanics
# 2D Kinematics

A \( 9 \text{ kg} \) body is projected horizontally at \( 12 \text{ m/s} \) from a height of \( 245 \text{ m}. \) What is the magnitude of the body's vertical velocity when it strikes the ground?

The air resistance is negligible and the gravitational acceleration is \( g = 10 \text{ m/s}^2. \)

A ball of mass \( 3 \text{ kg} \) is projected from the ground with a velocity of \( 30 \text{ m/s} \) in a direction that makes a \( 30 ^\circ \) angle with the horizon. How far does the ball fly horizontally?

Ignore any air resistance and assume that gravitational acceleration is \( g = 10 \text{ m/s}^2. \)

A body of mass \( 2 \text{ kg} \) is projected horizontally with a velocity of \( 3 \text{ m/s} \) from a height of \( 45 \text{ m}. \) How far does the body fly horizontally?

Ignore any air resistance and assume that gravitational acceleration is \( g = 10 \text{ m/s}^2. \)

A body of mass \( 6 \text{ kg} \) is projected horizontally with a velocity of \( 12 \text{ m/s} \) from a height of \( 80 \text{ m}. \) How long does it take for the body to touch the ground?

The air resistance is negligible and the gravitational acceleration is \( g = 10 \text{ m/s}^2. \)

A body of mass \( 6 \text{ kg} \) is projected horizontally with a velocity of \( 45 \text{ m/s} \) from a height of \( 180 \text{ m}. \) Find the magnitude of its velocity at the moment it touches the ground.

Ignore any air resistance and assume that gravitational acceleration is \( g = 10 \text{ m/s}^2. \)

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