Physics 1: Kinematics
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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##^{\circ}## 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 v##_0## at an angle ##\theta## .
- What is the range (your answer in terms of variables?)
- Find the angel of elevation ##\theta## of 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 ##\theta## gives 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 ##\vec{V}_s## = 6 m/s [E]. The water is moving downstream with velocity##\vec{V}_w## = 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?