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1D Kinematics

If train A leaves from El Paso at high noon and train B leaves from Dallas at 1 PM, you won't know when they meet unless you master 1D kinematics. What are you waiting for?

Velocity Vector for Constant Acceleration

         

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 \(g=10\text{ m/s}^2.\)

A car that is initially traveling at \(19\text{ m/s}\) accelerates uniformly for \(5.0\) seconds at a rate of \(4.0\text{ m/s}^2,\) in a straight line. What is the car's velocity after the \(5.0\) seconds?

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