Worksheet: Projectile Motion

In this worksheet, we will practice analyzing the motion of objects that move horizontally while undergoing constant vertical acceleration.

Q1:

A projectile is fired with an initial speed of 28 m/s and has a maximum upward vertical displacement from its launch position of 4.4 m. What angle above the horizontal is the projectile launched at?

Q2:

A projectile has an initial speed of 25 m/s and is fired at an angle of 4 8 above the horizontal. What is the time between the projectile leaving the ground and returning to the ground at the same height that it was launched from?

Q3:

The change in the vertical displacement of a projectile from its launch position and its horizontal displacement from its launch position is shown in the graph. Which of the following graphs most correctly represents how the mechanical energy of the projectile changes from the instant that it is launched to the instant that it lands?

  • A
  • B
  • C
  • D
  • E

Q4:

A frog jumps from the ground and lands at a point 16 cm horizontally distant from its launch point, moving with constant horizontal velocity. The maximum vertical displacement of the frog above the ground during its leap is 3.6 cm. What is the horizontal velocity of the frog?

Q5:

A projectile is fired at an angle of 5 5 above the horizontal and has a maximum upward vertical displacement from its launch position of 7.2 m. What is the initial speed of the projectile?

Q6:

A projectile is fired at an angle of 3 2 above the horizontal with an initial speed of 44 m/s. What is the maximum upward vertical displacement of the projectile from its launch position?

Q7:

A projectile has an initial speed of 15 m/s at a launch angle of 2 8 above the horizontal. What is the horizontal displacement of the projectile from its launch position to where it lands if its vertical displacement from its launch position is zero?

Q8:

Two projectiles are launched along the same horizontal direction from the same point at the same time. Projectile 𝑃 is launched at an angle of 6 5 above the horizontal at a speed of 2.5 m/s. Projectile 𝑃 is launched at an angle of 1 5 above the horizontal. The projectiles land at the same point. At what speed was projectile 𝑃 launched?

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