Projectile Motion Vertical Motion (y-axis) • Object motion is in free fall • Acceleration (a) is a constant -9.81 m/s2 • Initial Velocity (vi) is 0 m/s Quiz Horizontal Motion (x-axis) • Acceleration (a) is 0 m/s/s • Velocity is constant (vi = vf) Quiz Practice Problem (Horizontal Launch) People in movies often jump from buildings into pools. If a person jumps horizontally by running straight off a rooftop from a height of 30.0 m to a pool that is 5.0 m from the building, with what initial speed must the person jump? People in movies often jump from buildings into pools. If a person jumps horizontally by running straight off a rooftop from a height of 30.0 m to a pool that is 5.0 m from the building, with what initial speed must the person jump? Horizontal Knowns • Δx = 5.0 m • vi = vf = vavg • tvertical = thorizontal Vertical Knowns • Δx = 30.0 m • vi = 0 • a = -9.81 m/s/s • tvertical = thorizontal The Royal Gorge Bridge in Colorado rises 321 m above the Arkansas River. Suppose you kick a rock horizontally off the bridge. The magnitude of the rock’s horizontal displacement is 45.0 m. Find the speed at which the rock was kicked. A baseball rolls off a 0.70 m high desk and strikes the floor 0.25 m away from the base of the desk. How fast was the ball rolling? A cat chases a mouse across a 1.0 m high table. The mouse steps out of the way, and the cat slides off the table and strikes the floor 2.2 m from the edge of the table. When the cat slid off the table, what was its speed? A Pelican flying along a horizontal path drops a fish from a height of 5.4 m. The fish travels 8.0 m horizontally before it hits the water below. What is the pelican’s speed?