Classical Mechanics
# 1D Kinematics

An object is thrown straight down with an initial speed of \(5\text{ m/s}\) from a bridge. If the atmosphere is completely free of air resistance, how fast will the stone be when it enters the water \(0.5\) seconds later?

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

An object is thrown straight upward with an initial speed of \(31\text{ m/s}.\) If the atmosphere is completely free of air resistance, what is its velocity after \(4\) seconds has passed?

Define upward as positive direction.

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

A bullet is being fired from a pistol. As the bullet is fired, it initially accelerates uniformly at \(1000\text{ m/s}^2\) for \(0.15\) seconds. After \(0.15\) seconds has passed and the bullet has escaped from the pistol, it constantly decelerates at a rate of \(1\text{ m/s}^2\) due to air resistance. What is the speed of the bullet \(4.15\) seconds after the trigger is pulled?

Ignore the effect of gravity.

An object is falling with a speed of \(3\text{ m/s}.\) If the atmosphere is free of air resistance, how fast will the object be falling \(3\) seconds later?

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

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