Browse Problems
33 problems tagged with projectile
P0275
Expert Mechanics › KinematicsMinimum Initial Velocity for a Water Gun to Clear a Wall
As shown in the figure, a water gun located on the ground is at a perpendicular distance of $d=3.0$ m from a vertical wall of height $h=4.0$ m. A stream of water is ejected from the gun with an initial velocity $v_0$ at an angle $\alpha$ with respect to the horizontal. The water stream must just clear the top of the wall. Air resistance is negligible, and the acceleration due to gravity is $g=10$ m/s$^2$.
- What is the minimum value of the initial velocity $v_0$?
- What is the corresponding elevation angle $\alpha$?
P0304
Intermediate Mechanics › KinematicsSymbolic Projectile Motion from a Building
A ball is thrown from the edge of a roof at a height $h$ above the ground. The ball hits the ground after a time $t$ at a horizontal distance $d$ from the building, making an angle $\theta$ with the horizontal.
- Find the height $h$.
- Find the magnitude of the initial velocity, $v_0$.
- Find the angle $\phi_0$ of the initial velocity relative to the horizontal.
- Determine the condition for the initial velocity to be directed above or below the horizontal.
P0297
Intermediate Mechanics › KinematicsProjectile Motion Landing on a Roof
A ball is thrown, landing on a roof a time $t$ later. The landing spot is at a height $h$ above the launch point. Just before landing, the ball's path makes an angle $\theta$ with the horizontal roof. Assume the acceleration due to gravity is $g$ and that the ball is descending when it lands.
- Find the horizontal distance $d$ it travels.
- What is the magnitude of the ball's initial velocity, $v_0$?
- What is the angle $\alpha_0$ (relative to the horizontal) of the ball's initial velocity?
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