Question

The position of a particle is given by s = f(t) = t^3 − 6t^2 +...

The position of a particle is given by s = f(t) = t^3 − 6t^2 + 9t. The total distance travelled by the particle in the first 5 seconds is :

A. 4

B. 20

C. 28

D. None of the above

The maximum vertical distance between the line y=x+2 and the parabola y=x^2 for −1 ≤ x ≤ 2 is

A. 9/4

B. 1/4

C. 3/4

D. None of the above

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A particle moves in a straight line and its position is given by s(t)=t^3 - 6t^2-36t...
A particle moves in a straight line and its position is given by s(t)=t^3 - 6t^2-36t +66, where s is measured in feet and t in seconds. Find the intervals when the particle increases its speed.
The equation of motioj of a partucle is given by s(t)= t^3 -6t^2 +9t where s...
The equation of motioj of a partucle is given by s(t)= t^3 -6t^2 +9t where s is in meters and t is in seconds. a) Find when the particle is moving in the negatuve direction b) Find when the particle is accelerating in the positive direction
The position of a particle in rectilinear motion is given by: x(t) = (t^3 - 9t^2...
The position of a particle in rectilinear motion is given by: x(t) = (t^3 - 9t^2 + 24t + 5)ft. with t in seconds. plot the position, velocity, and acceleration in the first 10 seconds
The position ? of a particle moving in space from (t=0 to 3.00 s) is given...
The position ? of a particle moving in space from (t=0 to 3.00 s) is given by ? = (6.00?^2− 2.00t^3 )i+ (3.00? − ?^2 )j+ (7.00?)? in meters and t in seconds. Calculate (for t = 1.57 s): a. The magnitude and direction of the velocity (relative to +x). b. The magnitude and direction of the acceleration (relative to +y). c. The angle between the velocity and the acceleration vector. d. The average velocity from (t=0 to 3.00 s)....
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...
The position of a particle is given in cm by x = (2) cos 9?t, where...
The position of a particle is given in cm by x = (2) cos 9?t, where t is in seconds. (a) Find the maximum speed. 0.565 m/s (b) Find the maximum acceleration of the particle. _______m/s2 (c) What is the first time that the particle is at x = 0 and moving in the +x direction? _______s
A particle is moving along a straight line, and its position is defined by s =...
A particle is moving along a straight line, and its position is defined by s = (t2 - 6t +6) m. At t=6 seconds, find the following : a. the acceleration of the particle b. The average speed c. the average velocity
1. (1’) The position function of a particle is given by s(t) = 3t2 − t3,...
1. (1’) The position function of a particle is given by s(t) = 3t2 − t3, t ≥ 0. (a) When does the particle reach a velocity of 0 m/s? Explain the significance of this value of t. (b) When does the particle have acceleration 0 m/s2? 2. (1’) Evaluate the limit, if it exists. lim |x|/x→0 x 3. (1’) Use implicit differentiation to find an equation of the tangent line to the curve sin(x) + cos(y) = 1 at...
The position of a particle at time t ∈ R is given by r(t) = (t...
The position of a particle at time t ∈ R is given by r(t) = (t 2 , 1/3 t(t 2 − 3)). Specify for what value of t the velocity vector is vertical and for what value of t the velocity vector is horizontal and at what points in the plane this occurs. b) Let z = ln(x + ln(y)). Determine all second order partial derivatives to z.
) A particle is moving according to the velocity equation v(t) = 9t^2-8t-2 . The equation...
) A particle is moving according to the velocity equation v(t) = 9t^2-8t-2 . The equation uses units of meters and seconds appropriately. At t = 1 s the particle is located at x = 2 m. (a) What is the particle's position at t = 2 s? (b) What is the particle's acceleration at t = 1 s? (c) What is the particle's average velocity from t = 2 s to t = 3 s?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT