The velocity of a particle moving along a line is 1 - 2t meters per second. Find the distance traveled in meters during the time interval $0 \leq t \leq 1$ .
A)0
B)1
C) $\frac { 1 } { 8 }$ g.2
D) $\frac { 1 } { 2 }$ h. $\frac { 1 } { 4 }$

E)4
F)3

Question

The velocity of a particle moving along a line is 1 - 2t meters per second. Find the distance traveled in meters during the time interval $0 \leq t \leq 1$ .
A)0
B)1
C) $\frac { 1 } { 8 }$ g.2
D) $\frac { 1 } { 2 }$ h. $\frac { 1 } { 4 }$

E)4
F)3

Quizplus · Accepted Answer

The distance traveled is the integral of the velocity with respect to time. So, the distance traveled during the time interval $0 \leq t \leq 1$ is:$$\int_0^1 (1 - 2t) dt = \left[ t - t^2 \right]_0^1 = 1 - 1 = 0$$Therefore, the distance traveled is 0 meters.

The Velocity of a Particle Moving Along a Line Is 0≤t≤10 \leq t \leq 10≤t≤1

The Velocity of a Particle Moving Along a Line Is $0 \leq t \leq 1$