SOLUTION: The distance(s) a ball will roll down an inclined plane is directly proportional to the square of time(t). If the ball rolls 5 ft. in 1 sec. how far will it roll in 4 sec.?

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Question 200413: The distance(s) a ball will roll down an inclined plane is directly proportional to the square of time(t). If the ball rolls 5 ft. in 1 sec. how far will it roll in 4 sec.?
Found 3 solutions by solver91311, ankor@dixie-net.com, RAY100:
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!

is directly proportional to , so:

If when then

, so:

So calculate the value of when you substitute

Presuming, of course, that you have a long enough inclined plane such that the ball won't have reached the bottom before 4 seconds have elapsed.

John

Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website!
The distance(s) a ball will roll down an inclined plane is directly proportional
to the square of time(t).
If the ball rolls 5 ft. in 1 sec. how far will it roll in 4 sec.?
:
d(t) = 5t^2
if t = 4 sec
d(t) = 5(4^2)
d(t) = 5(16)
d(t) = 80 ft

Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website!
D=kt^2,,,,,,,,directly proportional
.
5ft =k * (1sec)^2
.
k=5 ft/sec^2
.
D=5 (4)^2 =5*16=80 ft
.