Question

Definite Integral?

Answer 1

A woman drives 10 miles, accelerating uniformly from rest to 70 mph. How long does it take for her to reach 70 mph?

Answer 2

Fill in the blanks.

Acceleration: a(t) = k -- Constant acceleration
Velocity: v(t) = kt + v0 -- v0 = 0, the initial velocity.
Displacement: x(t) =(k/2)t^2 + h0 -- H0 = 0, the initial displacement.

Recap:
Acceleration: a(t) = k
Velocity: v(t) = kt
Displacement: x(t) =(k/2)t^2

How far does she go? You'll need x(t) to help you with that.
What is her speed at that time? You'll need v(t) to help you with that.

Go!!

Answer 3

What is h0 and H0?

Answer 4

should be the initial position

Answer 5

Ohh i was a bit confused by the "--"

Answer 6

yea idk what that is probably meant to be an arrow or something

Answer 7

H0 is a typo and should have been h0
h0 is defined when it is presented. It is the initial displace,ent or initial position.
-- was meant to be spacing between the equation and the explanation. It's not unusual. It happens three times and you questioned only H0? That doesn't quite make sense.

Well, then, did you solve it?