# Playful Physics

## Distance

Definition: A scalar measure of the interval between two locations measured along the actual path connecting them.

My Definition: A measure between two locations, measuring the connecting line.

Formulas: ∆x= Vₒt + ½a(t*t) (t squared) Displacement

General Info:

• Never negative
• It will always increase
• Magnitude

## Displacement

Definition: A vector measure of the interval between two locations measured along the shortest path connecting them.

My Definition: A quantity having direction and magnitude, especially in determining the position of one point in space relative to another. Measured along the shortest path connecting them.

Formulas: V2= Vₒ(squared) + 2a∆x Displacement with No Time

∆x= Vₒt + ½a(t*t) (t squared) Displacement

General Info:

• It is a point of reference
• Can be negative
• Change in Position
• Involve Space
• Magnitude

## Sample Questions

1. A cheetah ran a distance of 5.50x10 m (squared) with an average speed of 1.00x10 (squared) km/h. The average speed of the cheetah is 85.0 km/h. What distance would the cheetah cover in 8 minutes?

2. A rocket shoots up an altitude of 180.0 km if the initial speed is 3.00 km/s how long did it take the rocket to reach its maximum height?

3.The average speed of a runner is 518 km/h. He decreased his speed from 100% to 40% of his average speed during the interval of 2 min. What is the distance traveled during that interval?

4.A radioactive kitten runs at a speed of 2.60 m/s. By the time the kitten finds his food his speed decreases at 2.20 m/s. If it took him 9.00 min and has a constant deceleration, what is the distance traveled by the super kitten?