The velocity of a particle moving along a line is $t ^ { 3 } - t$ meters per second. Find the displacement in meters of the particle during the time interval $0 \leq t \leq 2$ .
A)0
B)1
C) $\frac { 5 } { 2 }$ g.3
D) $\frac { 3 } { 2 }$ h. $\frac { 7 } { 4 }$

E)4
F)2

Question

The velocity of a particle moving along a line is $t ^ { 3 } - t$ meters per second. Find the displacement in meters of the particle during the time interval $0 \leq t \leq 2$ .
A)0
B)1
C) $\frac { 5 } { 2 }$ g.3
D) $\frac { 3 } { 2 }$ h. $\frac { 7 } { 4 }$

E)4
F)2

Quizplus · Accepted Answer

The displacement is the integral of the velocity function over the given interval. Integrating $t^3 - t$ from 0 to 2 gives $\frac{t^4}{4} - \frac{t^2}{2}$ evaluated from 0 to 2, which results in 2.

The Velocity of a Particle Moving Along a Line Is t3−tt ^ { 3 } - tt3−t

The Velocity of a Particle Moving Along a Line Is $t ^ { 3 } - t$