A particle moves along the x-axis according to the equation x = – 2t3. Calculate the average acceleration between t = 1 and t = 3 s

A particle starts from the origin at r=0 with a velocity of 8.0 m/s and moves in the xy plane with constant acceleration (3.5i +1.7)) m/s1. (a) When the particle's x coordinate is 27 m, what is its y coordinate? (b) When the particle's x coordinate is 27 r. what is its speed? m/s

At t = 10 s, a particle is moving from left to right with a speed of 5.0 m/s. At t = 20 s, the particle is moving right to left with a speed of 8.0 m/s. Assuming the particle's acceleration is constant, determine its acceleration

An object moves on xy plane according to the equation 7 = 20 cos(3t) î + (1,5t + 3,5t2)j. Determine its position at t = 0. Find its average velocity and average acceleration between t = 2s and t = 5s.

A particle moves along the x-axis according to the equation x = 2.00 +3.00t -1.00t^2, where x is in meters and t is in seconds. At t = 3.00s , find the acceleration of the particle.

An airplane has a velocity ofv=(5m/s)i+(4m/s)jatt1=3s. For the time interval from t1=3s to t2=13s the average acceleration is a=(.5m/s2)i+(.2m/s2)j. At 13s find the magnitude and direction of the velocity of the airplane.

A particle moving along the x-axis has its velocity described by the function vxvxv_x =2t2m/s=2t2m/s, where tt is in ss. Its initial position is x0x0x_0 = 2.2 mm at t0t0 = 0 ss . At 1.4 ss , what is the particle's position? At 1.4 ss , what is the particle's velocity? At 1.4 ss , what is the particle's acceleration?

A small object moves along the x-axis with acceleration ax(t) = −(0.0320m/s3)(15.0s−t). At t = 0 the object is at x = -14.0 m and has velocity v0x = 4.10 m/s. What is the x-coordinate of the object when t = 10.0 s?

A particle has a position in space given by r = 2t^3 i + 4t^2 j - 3t k where r is in m and t in seconds. Find the magnitude of the instantaneous velocity at t = 3.0 s. 24 m/s 75 m/s 54 m/s 59 m/s

Solve the last part