Solve an angle-launched projectile problem for quantities such as time, displacement, speed, and more.
Sharon Steady and Al Wayskachon won South’s recent egg toss contest held during Homecoming week. In their winning toss, Sharon gave the egg an underhand toss, releasing it with a velocity of 7.21 m/s at an angle of 32.9° to the horizontal. To the pleasure of the crowd, Al caught the egg at the same height as the toss without even a fracture to its shell.
Calculate the horizontal component of the initial velocity.
Horizontal component
m/s
Calculate the vertical component of the initial velocity.
Initial vertical comp
Calculate the time for the egg to reach the midpoint of the trajectory.
Time to peak
s
Calculate the total time the egg is in the air.
Time in air
Calculate the horizontal distance which the egg traveled from Sharon to Al.
Horizontal distance
m
Calculate the height of the egg (relative to the release point) when it was at the peak of its trajectory.
Height of travel
Kimora rides horses as a hobby. While participating in a competition, she approaches a tall barrier. Kimora (and the horse) launch themselves into the air at 8.49 m/s and an angle of 17.1° above the horizontal.
Calculate the x-component of the initial velocity.
Calculate the y-component of the initial velocity.
Calculate the time to rise to the highest point in the trajectory.
Calculate the total time in the air.
Calculate the horizontal distance of the horse during the jump.
Calculate the vertical height of the horse at the mid-point of its trajectory.
Maximum height
A Chicago Bear place kicker launches a kickoff at an angle of 34.6 degrees to the horizontal and a speed of 27.2 m/s.
Calculate the time for the football to rise to the highest point in the trajectory.
Calculate the total time the football is in the air.
Calculate the horizontal distance of the football.
Calculate the maximum height to which the football rises.
Height to peak
Megan Progress, the Titan golf standout, hits a nine-iron with a velocity of 32.64 m/s at an angle of 42.2 degrees to the horizontal.
Calculate the time for the golf ball to rise to the highest point in the trajectory.
Calculate the total time the golf ball is in the air.
Calculate the horizontal distance of the golf ball.
Calculate the maximum height to which the golf ball rises.
A golf ball is hit off a tee with an initial velocity of 42.9 m/s at an angle of 34.5 degrees above the horizontal. Assume the golf ball moves through the air as a projectile and use your projectile equations to answer the following questions. (Once you have become successful on this question, use the strategy on other questions.)
What is the horizontal component of the initial velocity?
What is the vertical component of the initial velocity?
How much time does it take for the golf ball to reach the peak of its trajectory?
If the golf ball lands at the same height as the tee, then how much time is it in the air?
Determine the vertical height above the ground at the moment the projectile is at the peak of its trajectory.
Determine the horizontal distance of the golf ball at the moment it hits the ground.
A tennis player stretches out to reach a ball that is just barely above the ground and successfully 'lobs' it over her opponent's head. The ball is hit with a speed of 18.1 m/s at an angle of 64.4 degrees.
Determine the time that the ball is in the air.
Determine the maximum height which the ball reaches.
Determine the distance the ball travels horizontally before landing.
Mr. Udadi takes his three children to the park for some summertime recreation. Olive Udadi is enjoying swinging and jumping. On one jump, Olive leaves the swing at a 28.0° angle to the horizontal with a speed of 2.2 m/s. She lands on the ground a horizontal distance of 1.11 meters from the launch location.
Determine the horizontal component of the initial velocity.
Determine the vertical component of the initial velocity.
Determine the time which Olive is in the air.
Determine the vertical height (relative to the landing location) from which Olive jumps from the swing.
Vertical launch height