Question

How do you do this question?

Answer 1

240 ft

Explanation:

When she stops, her velocity is 0. The first time that happens is at t = 3 minutes. Her position at that time is equal to the area under the curve.

You can use area of a trapezoid, or you can split the shape into two triangles and a rectangle. Watch your units! Speed is given in ft/s, and time is given in minutes.

Using trapezoid area:

A = ½ (1 min + 3 min) (2 ft/s)

A = ½ (60 s + 180 s) (2 ft/s)

A = 240 ft