Question

Suppose the position of a particle is given s(t)=(1/3)t3 - t2 - 8t + 10. Determine...

Suppose the position of a particle is given s(t)=(1/3)t3 - t2 - 8t + 10. Determine the following

A) What is the velocity function v(t)=

B) What is the acceleration function a(t)=

C) What is the object at rest t=

D) What is the position of the object at rest? Be sure to enter your answer as an exact fraction s=

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 position of a particle is given by x = (t3)/3 + t2 - 8t -...
The position of a particle is given by x = (t3)/3 + t2 - 8t - 4 and y = t2 + 8t + 3. 1) When, if ever is the particle's SPEED is constant? Ans: t = 0s, 1s, -4s 2) When is the speed increasing?
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...
1) The position of a particle moving along x direction is given by: x=8t-3t2.What is the...
1) The position of a particle moving along x direction is given by: x=8t-3t2.What is the velocity of the particle at t=2 s and what is the acceleration? 2) A roller coaster car starts from rest and descends h1= 40 m. The car has a mass of 75 kg. What is the speed at 20m while going down the hill?
If the acceleration of a particle is given by a(t)=2t-1 and the velocity and position at...
If the acceleration of a particle is given by a(t)=2t-1 and the velocity and position at time t=0 are v(0)=0 and S(0)=2. 1. Find a formula for the velocity v(t) at time t. 2. Find a formula for the position S(t) at time t. 3. Find the total distance traveled by the particle on the interval [0,3].
1-The velocity of a particle is v = { 6 i + ( 28 - 2...
1-The velocity of a particle is v = { 6 i + ( 28 - 2 t ) j } m/s, where t is in seconds. If r=0 when t=0, determine particle displacement during time interval t = 3 s to t = 8 s in the y direction. 2-A particle, originally at rest and located at point (1 ft, 4 ft, 5 ft), is subjected to an acceleration of a={ 3 t i + 17 t2k} ft/s. Determine magnitude...
) 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?
A particle moves according to a law of motion s = f(t), t ≥ 0, where...
A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = t3 − 8t2 + 23t (a) Find the velocity at time t. v(t) =    ft/s (b) What is the velocity after 1 second? v(1) =   ft/s (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (Enter your...
The position function of a moving particles is give by r(t) = [(5 m.s-1)t + (6...
The position function of a moving particles is give by r(t) = [(5 m.s-1)t + (6 m.s-2)t2] i + [(7.0 m) - (3 m.s-3)t3] j. Calculate: (i) the displacement of the particle from t = 2 s to t = 3 s. (ii) The instantaneous velocity and acceleration at t = 3 s.
The position of a particle for t > 0 is given by →r (t) = (3.0t...
The position of a particle for t > 0 is given by →r (t) = (3.0t 2 i ^ − 7.0t 3 j ^ − 5.0t −2 k ^ ) m. (a) What is the velocity as a function of time? (b) What is the acceleration as a function of time? (c) What is the particle’s velocity at t = 2.0 s? (d) What is its speed at t = 1.0 s and t = 3.0 s? (e) What is...
The position of an object moving horizontally after t seconds is given by the function s...
The position of an object moving horizontally after t seconds is given by the function s =12t-t^3 ​, for t > 0​, where s is measured in​ feet, with s g> 0 corresponding to positions right of the origin. a. When is the object​ stationary, moving to the​ right, and moving to the​ left? b. Determine the velocity and acceleration of the object at t=4. c. Determine the acceleration of the object when its velocity is zero. d. On what...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT