# Projectile Motion

Projectile motion is a fundamental concept in physics, describing the motion of objects thrown or projected into the air, subject only to the force of gravity and air resistance (if applicable). It involves analyzing the motion of an object in two dimensions, considering both horizontal and vertical components independently. Whether it's a baseball soaring through the sky or a cannonball fired from a cannon, understanding projectile motion is crucial in various fields, including physics, engineering, and sports. By examining the trajectory, velocity, and acceleration of projectiles, scientists and engineers can make predictions and optimize designs for a wide range of applications.

Questions

- A 0.15-kilogram baseball moving at 20 meters per second is stopped by a catcher in 0.010 second. What is the average force stopping the ball?
- A projectile is shot at a velocity of # 8 m/s# and an angle of #pi/6 #. What is the projectile's peak height?
- If a projectile is shot at a velocity of #15 m/s# and an angle of #pi/6#, how far will the projectile travel before landing?
- A projectile is shot at an angle of #(5pi)/12 # and a velocity of # 1 m/s#. How far away will the projectile land?
- A handball of mass 45 grams strikes a hard wall perpendicularly with an initial speed of 46m/s. The handball is in contact with the wall for 0.078 seconds, and then rebounds straight back with a speed of 39m/s. What average force was applied to the ball?
- The height of a ball (in meters) #t# seconds after it is thrown is given by #y(t)=-4.9t^2+11.6t+22.5#. From what height was the ball thrown?
- A projectile is shot at a velocity of #3 m/s# and an angle of #pi/8 #. What is the projectile's peak height?
- A projectile is shot at a velocity of # 7 m/s# and an angle of #pi/8 #. What is the projectile's peak height?
- A projectile is shot from the ground at an angle of #( pi)/3 # and a speed of #9 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?
- A projectile is shot from the ground at an angle of #pi/6 # and a speed of #25 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?
- A projectile is shot from the ground at an angle of #pi/4 # and a speed of #3/2 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?
- A ball is thrown vertically downwards from a height of 20 m with a initial velocity v0. It colloids with the ground, loses 50 % of its energy in collision and rebounds to the same height. The initial velocity v0 is .....??? Please explain it briefly.
- A ball is thrown vertically with an initial velocity of #64# feet per second. Its height above the ground after #t# seconds is given by #h(t) = 64t—16t^2#. What is the maximum height?
- A projectile is shot from the ground at an angle of #pi/4 # and a speed of #16 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?
- 2 point masses each having mass #m# are placed at a distance #2a#.Escape velocity for a mass #m# projected from position P?
- A projectile is shot at an angle of #pi/3 # and a velocity of # 24 m/s#. How far away will the projectile land?
- A projectile is shot at an angle of #pi/3 # and a velocity of # 46 m/s#. How far away will the projectile land?
- A stone, initially at rest on a horizontal plane is hit by a bullet travelling horizontally, which then rebounds horizontally at right angles to its initial direction of travel. How is this possible?
- A projectile is shot from the ground at an angle of #pi/6 # and a speed of #1 m/s#. When the projectile is at its maximum height, what will its distance, factoring in height and horizontal distance, from the starting point be?
- A projectile is shot from the ground at an angle of #pi/4 # and a speed of #3 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?