For a science fair competition, a group of high school students build a kicker-machine that can launch a golf ball from the origin with a velocity of $11.2 \mathrm{~m} / \mathrm{s}$ and a launch angle of $31.5^{\circ}$ with respect to the horizontal. a) Where will the golf ball fall back to the ground?

Mentioned here are the paths of a tennis ball your friend drops from the window of her apartment and of the rock you throw from the ground at the same instant. The rock and the ball collide at $x=50.0 \mathrm{~m}, y=10.0 \mathrm{~m}$ and $t=3.00 \mathrm{~s}$. If the ball was dropped from a height of $54.1 \mathrm{~m}$, determine the velocity of the rock initially and at the time of its collision with the ball.

A projectile is launched at a $60.0^{\circ}$ angle above the horizontal on level ground. The change in its velocity between launch and just before landing is found to be $\Delta \vec{v} \equiv \vec{v}_{\text {landing }}-\vec{v}_{\text {launch }}=-20.0 \hat{y} \mathrm{~m} / \mathrm{s}$. What is the initial velocity of the projectile? What is its final velocity just before landing?

An object is launched at a speed of $20.0 \mathrm{~m} / \mathrm{s}$ from the top of a tall tower. The height $y$ of the object as a function of the time $t$ elapsed from launch is $y(t)=-4.90 t^2+19.32 t+60.0$, where $h$ is in meters and $t$ is in seconds. Determine: c) the horizontal distance traveled by the object before it hits the ground.

An object is launched at a speed of $20.0 \mathrm{~m} / \mathrm{s}$ from the top of a tall tower. The height $y$ of the object as a function of the time $t$ elapsed from launch is $y(t)=-4.90 t^2+19.32 t+60.0$, where $h$ is in meters and $t$ is in seconds. Determine: b) the launch angle.