Use projectile motion concepts and kinematic equations (projectile equations) to solve the following problems.
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 32.5° angle to the horizontal with a speed of 2.3 m/s. She lands on the ground a horizontal distance of 1.26 meters from the launch location.
Determine the horizontal component of the initial velocity.
Horizontal component
m/s
Determine the vertical component of the initial velocity.
Initial vertical comp
Determine the time which Olive is in the air.
Time in air
s
Determine the vertical height (relative to the landing location) from which Olive jumps from the swing.
Vertical launch height
m
A projectile is launched from the ground with a velocity of 62.8 m/s, directed at an angle of 31.6 degrees with the horizontal.
Determine the time that the projectile is in the air before landing.
Determine the horizontal distance of the projectile.
Horizontal distance
Determine the maximum vertical height of the projectile.
Height to the peak
A punter kicks a football at an angle of 35.3˚ with the horizontal at an initial speed of 26.3 m/s.
What distance away should a punt returner position himself to catch the ball just before it strikes the ground?
To what vertical height does the football rise above the initial location?
Height to peak
In an ideal punt, a football has a 'hangtime' (total time in the air) of 4.91 seconds. A punter kicks the ball at an angle of 45.7° with the horizontal.
What must be the initial velocity of the ball to achieve this?
Launch velocity
To what height will such a punt rise above the ground?