Classical Mechanics
# 1D Kinematics

If an object is thrown straight upward with an initial speed of \(8\text{ m/s}\) and takes \(7\) seconds to hit the ground, from what height was the object thrown?

Assume that gravitational acceleration is \(g=10\text{ m/s}^2.\)

A race car is on a straight track. The race car accelerates from rest, covering \(100~\mbox{m}\) in \(5~\mbox{seconds}\). What is the acceleration of the race car in **\(\mbox{m/s}^2\)**?

**Details and assumptions**

- You may neglect air resistance.

A rock is dropped vertically off the edge of a cliff and hits the ground with an impact velocity of \(90\text{ m/s}.\) How high is the cliff?

The gravitational acceleration is \(g=10\text{ m/s}^2.\)

Cliff diving is an extreme sport. If a cliff diver dives from a platform 50 meters above the water, how long does the dive take **in seconds**?

**Details and assumptions**

- The acceleration of gravity is \(-9.8~\mbox{m/s}^2\).
- The diver can be treated as a point mass and has no vertical velocity at the start of the dive.
- Ignore air resistance.

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