Motion In a Plane

Question: A ball is thrown with an initial velocity of 15 m/s at an angle of 30 degrees with the horizontal. What is the maximum height reached by the ball? (Assume g = 10 m/s²)

• 2.5 m

• 5 m

• 7.5m

• 10m

Which graph represents zero acceleration (constant velocity)?

• A
• B
• C
• D

A football is kicked from the ground with an initial velocity of 25 m/s at an angle of 45 degrees with the horizontal. What is the time of flight of the football? (Assume g = 10 m/s²)

• 2.5s

• 3s

• 3.5s

• 4s

A stone is thrown horizontally from the top of a tower with an initial velocity of 20 m/s. If the stone hits the ground after 2 seconds, what is the height of the tower? (Assume g = 10 m/s²)

• 19m

• 20m

• 30m

• 40m

• A

• B

• C

• D

A stone is thrown from the top of a cliff with an initial velocity of 25 m/s at an angle of 60 degrees with the horizontal. What is the maximum height reached by the stone? (Assume g = 10 m/s²)

• 25m

• 30m

• 35m

• 40m

A projectile is launched from a height of 40 meters above the ground with an initial velocity of 30 m/s at an angle of 30 degrees with the horizontal. What is the time of flight of the projectile?

• 3s

• 4s

• 5s

• 6s

Question: A disc is rotating at an angular velocity of 4 rad/s. If it takes 5 seconds to complete 10 revolutions, what is its angular displacement?

• 8π rad

• 16π rad

• 20π rad

• 40π rad

A car accelerates uniformly from rest and reaches an angular velocity of 6 rad/s in 4 seconds. What is its angular acceleration?

• 1 rad/s²

• 1.5 rad/s²

• 2rad/s²

• 3rad/s²

A disc is rotating with an angular acceleration of 2 rad/s². If its initial angular velocity is 3 rad/s, what is its angular displacement after 5 seconds?

• 10rad

• 15rad

• 25rad

• 30rad