Question

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?

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
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=
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?
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...
) 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?
2). A particle moving on the x-axis has a time-dependent position (t) given by the equation...
2). A particle moving on the x-axis has a time-dependent position (t) given by the equation x (t) = ct - bt^3. Where the units of x are meters (m) and time t in seconds (s). (Hint: you must get derivatives, you need graph paper) (a) So that the position in x has units of meter which are the units of the constants c and b? Sic = 5yb = 1.Desdeti = 0satf = 3s. (b) What is its displacement,...
A particle's position is given by x = 7.00 - 15.00t + 3t2, in which x...
A particle's position is given by x = 7.00 - 15.00t + 3t2, in which x is in meters and t is in seconds. (a) What is its velocity at t = 1 s? (b) Is it moving in the positive or negative direction of x just then? (c) What is its speed just then? (d) Is the speed increasing or decreasing just then? (Try answering the next two questions without further calculation.) (e) Is there ever an instant when...
A particle's position is given by x = 12.0 - 9.00t + 3t2, in which x...
A particle's position is given by x = 12.0 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) What is its velocity at t = 1 s? (b) Is it moving in the positive or negative direction of x just then? (c) What is its speed just then? (d) Is the speed increasing or decreasing just then? (Try answering the next two questions without further calculation.) (e) Is there ever an instant when...
please do 1,2 and 3 thanks 1.The position of a particle moving along the x axis...
please do 1,2 and 3 thanks 1.The position of a particle moving along the x axis is given in centimeters by x = 9.12 + 1.75 t3, where t is in seconds. Calculate (a) the average velocity during the time interval t = 2.00 s to t = 3.00 s; (b) the instantaneous velocity at t = 2.00 s; (c) the instantaneous velocity at t = 3.00 s; (d) the instantaneous velocity at t = 2.50 s; and (e) the...
The position of a particle moving with constant acceleration is given by x(t) = 2t2 +...
The position of a particle moving with constant acceleration is given by x(t) = 2t2 + 8t + 4 where x is in meters and t is in seconds. (a) Calculate the average velocity of this particle between t = 6 seconds and t = 9 seconds.   (b) At what time during this interval is the average velocity equal to the instantaneous velocity?   
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT