For , a particle has velocity and position . What is the particle’s position at…

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

For

t\ge 0

, a particle has velocity

v(t)=e^{0.5t}-1

and position

s(0)=4

. What is the particle’s position at

t=3

? (a)

e^{1.5}-1

(b)

2e^{1.5}-5

(c)

2e^{1.5}-1

(d)

2e^{1.5}+1