Exam 4: Two-Dimensional Kinematics

An airplane is flying at a speed of 200 m/s in level flight at an altitude of 800 m. A package is to be dropped from the airplane to land on a target on the ground. At what horizontal distance away from the target should the package be released so that it lands on the target?

A ball is thrown with a velocity of 40 m/s at an angle of 30° above the horizontal and attains a certain range R. At what other angle will this ball attain the same range keeping its initial velocity the same?

The horizontal and vertical components of the initial velocity of a football are 24 m/s and 7 m/s respectively. What is the initial velocity of the football?

A projectile is launched with an initial velocity of 80 m/s at an angle of 30° above the horizontal. Neglecting air resistance, what is horizontal component of the projectile's acceleration?

The horizontal and vertical components of the initial velocity of a football are 16 m/s and 20 m/s respectively. How long does it take for the football to rise to the highest point of its trajectory?

For general projectile motion, the horizontal component of a projectile's velocity

A boy throws a ball with an initial velocity of 25 m/s at an angle of 30° above the horizontal. How high above the projection point is the ball after 2.0 s?

If the acceleration vector of an object is directed anti-parallel to the velocity vector,

Marcia uses a bow to shoot an arrow with initial velocity of magnitude v₀ and at an angle θ above the horizontal. When the arrow returns to the same height from which it started,

An athlete competing in long jump leaves the ground with a speed of 9.14 m/s at an angle of 35.0° above the horizontal. What is the length of the athlete's jump?

A ball rolls off the edge of a table with an initial velocity of 20 m/s. The height of the table above the ground is 2.0 m. How long does it take the ball to reach the ground?

A jumper in the long-jump goes into the jump with a speed of 12 m/s at an angle of 20° above the horizontal. How far does the jumper jump?

A bullet is fired from ground level with a speed of 150 m/s at an angle 30° above the horizontal at a location where g = 10.0 m/s². How long does it take before the bullet hits the ground?

If the initial speed of a projectile is doubled.

A boy kicks a football from ground level with an initial velocity of 20 m/s at an angle of 30° above the horizontal. How long does it take for the ball to rise to the highest point of its trajectory?