Question

the velocity of a car (in feet/second), t sec after starting from rest is given by the function
f(t)= 2√t (0≤t≤30)

Answer 1

find the car's position at any time t.

Answer 2

\[\int_0^{30} 2t^{\frac{1}{2}}dt\]

Answer 3

okay so i can pull the 2 outside and find the integral of t^(1/2)

Answer 4

\[\left|2\frac{t^{\frac{1}{2}+1}}{\frac{1}{2}+1}\right|_0^{30}\]

Answer 5

Yea, Exactly

Answer 6

i got 2[(2/3)t^(3/2)] from 0 to 30

Answer 7

yep, you got it right