×

## 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 - 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?

×