Need help with an (Integral?) question. A woman drives 8 miles, accelerating uniformly from rest to 60 mph. How long does it take for her to reach 60 mph?

Question

Need help with an (Integral?) question. A woman drives 8 miles, accelerating uniformly from rest to 60 mph.  How long does it take for her to reach 60 mph?

revircs · Answer

Im pretty sure I need to divide the distance by the speed, but my homework is telling me that i'm wrong each time.

revircs · Answer

8mi/60mph would give me 2/15 or .13333...

superdavesuper · Answer

"accelerating uniformly from rest to 60 mph" so the speed is not constant....

and dont u think it wuld be too EASY if u can just do a simple division for a calculus hw? lol

superdavesuper · Answer

w/ constant acceleration, u can use integration to come up with this formula:

(final speed)^2 = (initial speed)^2 + 2*(acceleration)*(distance traveled)

initial speed = 0
final speed = 60mph
distance traveled = 8 miles

solve acceleration then u can solve for time