Projectile Motion

A ball is projected at an angle of $30°$ above with the horizontal from the top of a tower and strikes the ground in $5 \sec$ at angle of $45°$ with the horizontal. Find the height of the tower and the speed with which it was projected.

An object $A$ is kept fixed at the point  $x=3 m$ and  $y=1.25 m$ on a plank $P$ raised above the ground. At time  $t=0$  the plank starts moving along the  $+x$  direction with an acceleration  $1.5m{s}^{-2}.$  At the same instant a stone is projected from the origin with a velocity $u$ as shown. A stationary person on the ground observes the stone hitting the object during its downward motion at an angle of  $45°$  to the horizontal. All the motions are in the  $x-y$  plane. Find $u$ and the time after which the stone hits the object. Take  $g=10m{s}^{-2}.$          

A large heavy box is sliding without friction down a smooth plane of inclination  $\theta$ . From a point $P$ on the bottom of the box, a particle is projected inside the box. The initial speed of the particle with respect to the box is $u$ and the direction of projection makes an angle $\alpha$ with the bottom as shown in the figure:

If the horizontal displacement of the particle as seen by an observer on the ground is zero, find the speed of the box with respect to the ground at the instant when the particle was projected.

Two guns situated on the top of a hill of height $10 m$ fire one shot each with the same speed  $5\sqrt{3}m{s}^{-1}$ at some interval of time. One gun fires horizontally and other fires upwards at an angle of  $60°$  with the horizontal. The shots collide in air at point $P$. Find the time interval between the firings.

A projectile of mass $m$ is projected with an initial velocity $v_0$, at an angle $\theta$ with the horizontal. What is the torque of the weight of the particle about the point of projection when the particle is at the highest point? 

A particle is projected on a frictionless inclined plane of inclination $37°$ at an angle of projection $45°$ from the inclined plane as shown in the figure. If after the first collision from the plane, the particle returns to its point of projection, then what is the value of the reciprocal of the coefficient of restitution between the particle and the plane?

What are 5 examples of projectile motion?

What is the definition of projectile motion?

How do you find the flight time of a projectile?

What is the maximum height of a projectile?

What is the maximum height and time of flight of oblique projectile?

How do you find the time it takes to reach maximum height of a projectile?

How do you find horizontal instantaneous velocity?

How do you find the time of a projectile?

How do you find the time it takes to reach maximum height of a projectile?

A object is thrown with initial speed $5 {\mathrm{ms}}^{-1}$ with an angle of projection $30°$. What is the range covered by the particle. (write answer in meter).

A object is thrown with initial speed $5 {\mathrm{ms}}^{-1}$ with an angle of projection $30°$. What is the  maximum height achieved by object. (write answer in meter).

If an object is thrown horizontally with an initial speed $10 {\mathrm{ms}}^{-1}$ from the top of a building of height $100 \mathrm{m}$. What is the horizontal distance covered by the particle?

A ball is projected upwards with a velocity $20 \mathrm{m} {\mathrm{s}}^{-1}$ from the base of an inclined and it hits its surface at a point that is at a height $10 \mathrm{m}$ above its base. If the angle of projection is ${30}^{\circ }$with the vertical and the angle of inclination of the plane is ${30}^{\circ }$ with the horizontal. Find the time interval after that it reaches the maximum vertical height. Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$.

A projectile is projected along an inclined plane as shown in the figure. How much time it will take to collide at point A? $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$