Classical Mechanics
# 2D Kinematics

A \( 300 \text{ g} \) football is kicked with an initial velocity of \( 140 \text{ m/s} \) in a direction that makes a \( 30^\circ \) angle with the horizon. Find the peak height of the football.

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

The gravitational acceleration is \( g = 10 \text{ m/s}^2, \) and \( \sin{53^\circ}\) and \(\cos{53^\circ}\) are about \(0.8\) and \(0.6,\) respectively.

A projectile fired from the ground has a maximum range of \( 132 \text{ m}. \) What is the maximum height attained by it?

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

A man kicks a \( 300 \text{ g} \) ball from the ground in a direction that makes a \(45^\circ \) angle with the horizon. He intends to make the ball land on top of a moving truck. If the initial horizontal distance between the truck and the ball, at the instant of the kick, is \(d_o = 36 \text{ m}, \) and the truck moves directly away from the ball with a velocity of \( v = 9 \sqrt{2} \text{ m/s}, \) in what magnitude of velocity \(v_o \) should the ball be kicked in order to make it land on the truck?

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

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