Question

The velocity of a particle moving along a line is a function of time given by  v(t)=81/(t2+9t+18)....

The velocity of a particle moving along a line is a function of time given by  v(t)=81/(t2+9t+18). Find the distance
that the particle has traveled after t=9 seconds if it started at t=0 seconds.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The velocity function (in meters per second) is given for a particle moving along a line....
The velocity function (in meters per second) is given for a particle moving along a line. v(t) = t2 − 2t − 8,    1 ≤ t ≤ 5 (a) Find the displacement. (m) (b) Find the distance traveled by the particle during the given time interval. (m)
17. The velocity function, in feet per second, is given for a particle moving along a...
17. The velocity function, in feet per second, is given for a particle moving along a straight line. v(t) = t2 − t − 132, 1 ≤ t ≤ 15 (a) Find the displacement (b) Find the total distance that the particle travels over the given interval.
Given: v(t) = 6t - 6, on  .     The velocity function (in meters per second) is given...
Given: v(t) = 6t - 6, on  .     The velocity function (in meters per second) is given for a particle moving along a line. Find the total (left and right)  distance traveled by the particle during the given time interval  from t = 0 to t = 5.
) The velocity function v(t) = −2t + 6, on the interval [1,5] is given for...
) The velocity function v(t) = −2t + 6, on the interval [1,5] is given for a particle moving along a line. Find the distance traveled
A particle moves along a line with velocity v(t)=(3 - t)(2+t), find the distance traveled during...
A particle moves along a line with velocity v(t)=(3 - t)(2+t), find the distance traveled during the time interval [0, 1].
The function s(t) describes the position of a particle moving along a coordinate line, where s...
The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. s(t) = 3t2 - 6t +3 A) Find the anti-derivative of the velocity function and acceleration function in order to determine the position function. To find the constant after integration use the fact that s(0)=1. B) Find when the particle is speeding up and slowing down. C) Find the total distance from time 0 to time...
A particle that moves along a straight line has velocity v ( t ) = t^2e^−...
A particle that moves along a straight line has velocity v ( t ) = t^2e^− 2t meters per second after t seconds. How many meters will it travel during the first t seconds (from time=0 to time=t)?
A particle is moving along a straight line and has acceleration given by a(t) = 20t^3+12t^2}....
A particle is moving along a straight line and has acceleration given by a(t) = 20t^3+12t^2}. Its initial velocity is v( 0 ) = 4 m / s and its initial displacement is s( 0 ) = 5 m. Find the position of the particle at t = 1 seconds.
A particle is moving along a straight line and has acceleration given by a(t) = 20t^3+12t^2}....
A particle is moving along a straight line and has acceleration given by a(t) = 20t^3+12t^2}. Its initial velocity is: v(0) = 4 m/ and its initial displacement is s(0) = 5 ms. Find the position of the particle at t = 1 seconds. 10  m 5  m 11  m 4  m 2m
1. The velocity of a particle moving in a straight line is given by the function...
1. The velocity of a particle moving in a straight line is given by the function v (t) = 1.0t ^ 2 + 5.0 (m / s). Find the total displacement of the particle from t = 0 to t = 5.0 (s) using the definite integral of the function. 2. Find the position function for the following velocity function at t = 7.2t + 5.4 (m / s2), where we know that the initial velocity of the particle is...