Projectiles
General solution
An object is launched and lands on a level plane at a velocity "V" and angle "Theta". How far does it travel? This general solution also shows what angle maximizes the range.
Leo The Lion
​A friendly lion sits on his high perch and leaps toward a Jeep on the nearby road. How far horizontally does Leo travel?
Diving (backwards)
​A diver enters the water at a given velocity and angle. Can you go backward and calculate at what velocity she leaves the 3 meter diving board?
Standing Jump
​In track, there is an event called the "Standing Jump" where one tries to jump as far as they can. Knowing the acceleration and the length of one's legs, calculate the distance one can jump.
Pool Table Misplay
​A pool shark knocks the ball off the table and it flies at a given horizontal velocity. How far does the ball fall from the table?
The flight of the soccer ball
​A child kicks a soccer ball at a 12 m/s and an angle of 50 degrees. How far does this ball fly?
The rocket verses the wall
​We shoot a rocket at 75.0 m/s and an angle 60.0 degrees toward an 11.0 meter high wall 27.0 meters away. How far above the wall does the rocket travel?
Spaceman Spiff
​Spiff is flying horizontally at 250 m/s when he spots a Xenon ahead and below. He fired a photon torpedo at an angle 32 degrees down from his direction of flight. The missile is launched at 58 m/s. What is the velocity at which the torpedo appears to be approaching from the perspective of the Xenon?