57 314
Assignments Done
Successfully Done
In February 2018
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Integral Calculus Question for samankhan

Question #2723
A body moves in a straight line with acceleration of magnitude a m/s2 given by a = 8 – t at time t seconds. If initially the speed is zero, find
(a) the distance travelled in the first three seconds
(b) the maximum distance from the initial point.
Expert's answer
We have that a(t) = v'(t) = 8-t. Since v(0)=0, we have that
v(t) =∫0t a(s)ds = ∫0t(8-s)ds = 8t - t2/2
Hence the distance is given by the formula:
S(t)=∫0t v(s)ds = ∫0t (8t-t2/2)ds = 8t2-t3/6

a) the distance travelled in the first three seconds uis equal to
S(3) = 8*9-27/6 = 67.5

b) the maximum distance from the initial point is achieved at point, where S'(t) = v(t) = 0:
8t-t2/2 = 0, whence either t=0 or t=4.
Then S(4) = 8*16-64/6=117.33

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be first!

Leave a comment

Ask Your question