Projectile motion
Projectile Motion Projectile = an object that moves along a two- dimensional curved trajectory in response to gravity Projectile Motion = the motion of a projectile under gravity Time of Flight = the time taken for a projectile to complete its motion Range = the horizontal distance travelled by a projectile (∆dx)
Dropping vs. Throwing
Important Properties of Projectile Motion Objects fall at the same rate, regardless if dropped or thrown Projectiles have no acceleration horizontally horizontal : a = 0 vertical : a = 9.8 m/s2 Projectiles follow parabolic motion At the vertex the vertical velocity is 0 m/s
Example 1: A circus clown is shot at 40.0 m/s horizontally out of a canon from the top of a 100.0 m high cliff. a) How long is he in the air? (flight time) b) How far from the base of the cliff will he land? (range)
Try #1 on page 78
Example 2: A circus clown is shot out of a cannon on the ground at an angle of 40˚ above the horizontal and at 9.4 m/s. Determine his Time of flight Range Max. height
Example 3: The same clown is now shot from a cannon at 25 m/s and 50˚ above the horizontal. This time, the cannon is on top of a 30.0 m high cliff. What is the clown’s Time of flight Range Final velocity before hitting the ground
Try Page 81: #2,6,7,8