SOLUTION: Please help me solve this problem How far does an object go starting from rest, accelerating at 5ms^(-2) for 6 seconds and then decelerating uniformly and stopping a further 12 se

Algebra ->  Volume -> SOLUTION: Please help me solve this problem How far does an object go starting from rest, accelerating at 5ms^(-2) for 6 seconds and then decelerating uniformly and stopping a further 12 se      Log On


   



Question 1056189: Please help me solve this problem
How far does an object go starting from rest, accelerating at 5ms^(-2) for 6 seconds and then decelerating uniformly and stopping a further 12 seconds?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Break up the problem into two segments.
First section, acceleration.
d%5B1%5D=%281%2F2%29at%5E2
d%5B1%5D=%281%2F2%29%285%29%286%29%5E2
d%5B1%5D=%281%2F2%295%2836%29
d%5B1%5D=90m
Now for the second part, find the velocity when t=6,
v=at
v=5%286%29
v=30m%2Fs
Now use the formula for distance given initial and final velocity,
d%5B2%5D=%28%28v%5B1%5D%2Bv%5B2%5D%29%2F2%29%2At
d%5B2%5D=%28%2830%2B0%29%2F2%29%2A12
d%5B2%5D=15%2A12
d%5B2%5D=180m
So the total distance is,
D=d%5B1%5D%2Bd%5B2%5D
D=90%2B180
D=270m