The velocity v at time t of an object traveling in a straight line is given by v=t-3 determine the distance

Favorites|Homepage
Subscriptions | sitemap

HOME > > The velocity v at time t of an object traveling in a straight line is given by v=t-3 determine the distance

The velocity v at time t of an object traveling in a straight line is given by v=t-3 determine the distance

[From: ] [author: ] [Date: 12-02-11] [Hit: ]

......

it travels from t=0 to t=4

-

Distance = ∫|t - 3| dt from 0 to 4 = (3)(3)/2 + 1/2 = 5

-

Integrate v = t - 3

s = (1/2) * t^2 - 3t + C

From t = 0 to t = 4

(1/2) * (4^2 - 0^2) - 3 * (4 - 0) + C - C =>
(1/2) * 16 - 12 =>
8 - 12 =>
-4

-

v = t - 3
dy/dt = t - 3
dy = (t - 3)dt
y = .5t^2 - 3t

Evaluating this integral from 0 to 4 yields:

y = .5(4)^2 - 3*4
y = 8 - 12
y = -4

1

keywords: the,time,is,object,straight,given,The,distance,determine,an,of,velocity,at,in,line,traveling,by,The velocity v at time t of an object traveling in a straight line is given by v=t-3 determine the distance

New

Hot