PHYS16 – Lecture 8 Projectile Motion: Max Range and Height September 24, 2010 Fox Trot by Bill Amend

Agenda Derive Shoot the Monkey Derive Max height and Range for Projectile Motion Outside Demo Day

Derive Shoot the Monkey If shoot gun and monkey falls from height at the same time, where do I aim gun to hit monkey? (Answer: At monkey) v0v0 θ x monkey y monkey

Derive Shoot the Monkey 1) Find time for bullet to go x monkey, then solve for bullet’s y position

Derive Shoot the Monkey 2) Find the monkey’s y position at the same time

Derive Shoot the Monkey 3) Set the two positions equal to each other and find out where We should aim our gun… Aim at Monkey!!!

Derive max y & x for Projectile θ x max

Outside Demo Day

Drop Balls off of Merrill Beach Objective: to see which balls are the most affected by air resistance – Physics says that in vacuum all balls should fall with the same acceleration and land at the same time, neglecting air resistance

Shoot Water Rockets Objective: to determine the angle with air resistance that allows for the max distance – Physics says that without air resistance, angle that give max distance is 45 degrees

Sling Shot Objective: Calculate the initial velocity of a sling shot – Shoot the sling shot only in x then measure where it hit the ground and how long it took it to hit the ground – Initial velocity = distance/time, as long as you neglect air resistance