# Linear speed Formula (straight line motion)

Linear speed is the rate at which an object travels along a straight path. It is the distance an object travels in a certain amount of time. The units of linear speed are meters per second, m/s.

v = linear speed (m/s)

Δs = short form for "the change in" position (m)

Δt = short form for "the change in" time (s)

Linear speed Formula(straight line motion) Questions:

1) A slug crawls across a garden 3.0 m wide in 5.0 minutes. What is the linear speed of the slug in meters per second?

Answer: The first step is to convert the amount of time the slug crawled for into seconds. There are 60 seconds in every minute.

Δt = 5.0 min

Δt = 300 s

The next step is to use the formula to find the linear speed of the slug.

The linear speed of the slug is 0.010 m/s.

2) An arrow is shot from a bow at a linear speed of 75.0 m/s. The target is 15.0 m from the bow. How much time passes between the arrow leaving the bow and when it hits the target?

Answer: The amount of time can be found by rearranging the formula for linear speed to solve for time.

The arrow leaves the bow, and reaches the target 0.20 seconds later.

Related Links: |