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 \(g=10\text{ m/s}^2.\)
An object initially at rest starts moving in a straight line, accelerating uniformly at \(3\text{ m/s}^2\) for \(2\) seconds. Then it moves with a constant acceleration of \(-2\text{ m/s}^2\) for \(8\) seconds, and then it accelerates uniformly at \(1\text{ m/s}^2\) for \(8\) seconds. Find the displacement of the object during the total \(18\) seconds.
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.