Physics 1: Kinematics

A bullet was shot perfectly horizontally and was aimed directly at the center of a bulls eye 50 meters away. Suppose it struck 5 cm below the target. How fast was it going when it is fired?

An artillery shell is fired with an initial velocity of 110 m/s at an angle of 30∘above the horizontal. Find:

Its position and velocity after 6 s

The time required to reach its maximum height

The horizontal distance (range)

A plastic ball is thrown with a velocity of 18 m/s stays in the air for 3.0 s.

At what angle with respect to the horizontal was it released?

What was the maximum height achieved by the ball?

Find the range of a gun which fires a shell with muzzle velocity v0at an angle θ.

What is the range (your answer in terms of variables?)

Find the angel of elevation θof a gun that fires a shell with muzzle velocity of 115 m/s and hits a target on the same level but 1200 m distant.

Which angle for θgives the maximum possible range for a projectile. In terms of the remaining variables find the hang time, height, and range.

A stone is thrown off the top of a building from a height of 45.0 m. The stone has a launch of angle of 62.5 degrees and a speed of 31.5 m/s.

How long is the stone in flight?

How far from the base of the building does it travel?

What is its speed just before it hits the ground?

A student is swimming across a stream with velocity ⃗Vs= 6 m/s [E]. The water is moving downstream with velocity⃗Vw= 4 m/s [S]. What is the velocity of the student relative to another student sitting on the west bank of the river?

How long does it take to cross the river?

How far downstream does the swimmer go?