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Chapter 4: Q 13. (page 339)

Suppose v(t) is the velocity of a particle moving on a straight path, where v is measured in meters per second and t is measured in seconds. The particle starts moving

at time t0and moves for 鈭�tseconds.

(a) What are the units of vt0鈭�t?

(b) Geometrically, what does vt0鈭�trepresent?

(c) What do these questions have to do with this section?

Short Answer

Expert verified

(a) Meters

(b) Area of the rectangle

(c) Distance is related to the area under the velocity curve.

Step by step solution

01

Step 1. Given information

v(t) is the velocity of a particle moving on a straight path, where v is measured in meters per second and t is measured in seconds. The particle starts moving at time t0and moves for 鈭�tseconds.

02

Step 2. Explanation

v(t) is the velocity of a particle moving on a straight path, where v is measured in meters per second and t is measured in seconds. The particle starts moving at time t0and moves for 鈭�tseconds.

(a) Units of vt0鈭�tis meters.

(b) vt0鈭�trepresents the area of a rectangle.

(c) This section denotes that distance is related to the area under the velocity curve.

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