Question

A particle moves in the x direction according to the equation x(t)=bt3+ct2+d, where b = 7.0...

A particle moves in the x direction according to the equation x(t)=bt3+ct2+d, where b = 7.0 m/s3 , c = -11 m/s2 , and d = 20 m.

What is its AVERAGE ACCELERATION in the interval t = 2.0 s to t = 5.0 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
a) An electron has a velocity of 7.0 x 106 m/s in the positive x direction...
a) An electron has a velocity of 7.0 x 106 m/s in the positive x direction at a point where the magnetic field has the components Bx = 3.0 T, By = 2.5 T, and Bz = 2.0 T. What is the magnitude of the acceleration of the electron at this point (in 1018 m/s2)? (me = 9.11 x 10-31 kg, e = 1.6 x 10-19 C) b) A particle (q = 5.0 nC, m = 3.0 μg) moves in...
The equation x(t) = −bt2 + ct3 gives the position of a particle traveling along the...
The equation x(t) = −bt2 + ct3 gives the position of a particle traveling along the x axis at any time. In this expression, b = 4.00 m/s2, c = 4.80 m/s3, and x is in meters when t is entered in seconds. For this particle, determine the following. (Indicate the direction with the sign of your answer as applicable.) (a) displacement and distance traveled during the time interval t = 0 to t = 3 s displacement     distance     (b)...
The position of a particle moving along the x axis depends on the time according to...
The position of a particle moving along the x axis depends on the time according to the equation x = ct2 − bt3, where x is in meters and t in seconds. For the following, let the numerical values of c and b be 5.1 and 1.5, respectively. (For vector quantities, indicate direction with the sign of your answer.) (c) At what time does the particle reach its maximum positive x position? From t = 0.0 s to t =...
An object moves along the x axis according to the equation x = 3.25t2 − 2.00t...
An object moves along the x axis according to the equation x = 3.25t2 − 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 3.30 s and t = 4.40 s. m/s (b) Determine the instantaneous speed at t = 3.30 s. m/s Determine the instantaneous speed at t = 4.40 s. m/s (c) Determine the average acceleration between t = 3.30 s and t = 4.40 s....
An object moves along the x axis according to the equation x = 3.65t2 − 2.00t...
An object moves along the x axis according to the equation x = 3.65t2 − 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 1.50 s and t = 3.50 s. m/s (b) Determine the instantaneous speed at t = 1.50 s. m/s Determine the instantaneous speed at t = 3.50 s. m/s (c) Determine the average acceleration between t = 1.50 s and t = 3.50 s....
An object moves along the x axis according to the equation x = 4.00t2 − 2.00t...
An object moves along the x axis according to the equation x = 4.00t2 − 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 1.60 s and t = 3.20 s. m/s (b) Determine the instantaneous speed at t = 1.60 s. m/s Determine the instantaneous speed at t = 3.20 s. m/s (c) Determine the average acceleration between t = 1.60 s and t = 3.20 s....
An object moves along the x axis according to the equation x = 4.00t2 − 2.00t...
An object moves along the x axis according to the equation x = 4.00t2 − 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 1.60 s and t = 3.20 s. The average speed is the distance traveled divided by the time. Is the distance traveled equal to the displacement in this case? m/s (b) Determine the instantaneous speed at t = 1.60 s.   m/s Determine the instantaneous...
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...
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 + 26t A. Find the acceleration at time t and after 1 second. a(t) = ft/s2 a(1) = ft/s2 B. When is the particle speeding up? (Enter your answer using interval notation.) c. When is it slowing down? (Enter your answer using...
3. A particle moves in simple harmonic motion according to x = 3 cos(10t)., where x...
3. A particle moves in simple harmonic motion according to x = 3 cos(10t)., where x is in meters and t is in seconds, its maximum acceleration is? A. 30sin(10t) m/s/s B. 30cos(10t) m/s/s C. 50 m/s/s D. 150 m/s/s E. 300 m/s/s
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT