Use projectile motion concepts and kinematic equations (projectile equations) to solve the following problems.
A projectile is launched from ground level with a velocity of 34.6 m/s at an angle of 60 degrees above the horizontal. The projectile is in the air for 6.0 seconds before it lands at the same height from which it was originally launched. Use your projectile motion concepts to determine the vx and vy values at 1.0-second intervals of time. The initial values are listed in the table. When entering values, use a negative sign to indicate a downward vy. Use a g value of 10.0 m/s/s.
vx at 1.0 s
m/s
vy at 1.0 s
vx at 2.0 s
vy at 2.0 s
vx at 3.0 s
vy at 3.0 s
vx at 4.0 s
vy at 4.0 s
vx at 5.0 s
vy at 5.0 s
vx at 6.0 s
vy at 6.0 s
Determine the horizontal displacement of this projectile at 6.0 seconds.
Horizontal Displacement
m
At what time is the projectile at the peak of its trajectory?
Time at Peak
s
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 7.36 m/s at an angle of 29.7° 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
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
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
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 5.20 m/s and an angle of 19.3° 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