An object is moving in the x-direction with some initial velocity. After a time of 4.06 seconds, the object has a velocity of 23.1 m/s i. If its acceleration was at a constant rate of 3.81 m/s i over this time, what displacement did it undergo?

A particle undergoes a constant acceleration of 4.40 m/s?. After a certain amount of time, its velocity is 11.6 m/s. (Where applicable, indicate the direction with the sign of your answer.) (a) If its initial velocity is 5.8 m/s, what is its displacement during this time? (b) What distance does it travel during this time? (c) If its initial velocity is -5.8 m/s, what is its displacement during this time? m (d) What is the total distance the particle travels during the interval in part (c)? m

If a particle has an initial velocity v0 = 12 ft/s to the right, and a constant acceleration of 2 ft/s^2 to the left, determine the particle’s displacement in 10 s. Originally s0 = 0.

The position of a particle moving along the x-axis is given by x(t) = 3.0 — 1.7t m. (Assume t is in seconds.) (a) At what time (in s) does the particle cross the origin? S (b) What is the displacement (in m) of the particle between t = 3.5 s and t = 7.0 s? (Indicate the direction with the sign of your answer.) m

20.0 m/s. An object is moving along the x -axis. At t = 0 it has velocity vor Starting at time t = 0 it has acceleration a, = –Ct, where C has units of m/s³. (a) What is the value of C if the object stops in 8.00 s after t = 0? (b) For the value of C calculated in part (a), how far does the object travel during the 8.00 s ?

A cart is given an initial velocity of 8.3 m/s and experiences a constant acceleration of 3.3 m/s?. What is the magnitude of the cart's displacement during the first 7 s of its motion?

A brick is dropped from the roof of a tall building. After it has been falling for a few seconds, it falls 41.0 mm in a 1.00-ss time interval.What distance will it fall during the next 1.00 s? Ignore air resistance.

The position of a particle moving along an x axis is given by x = 12.0t2 - 2.00t°, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 3.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) VWhat is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine the average velocity of the particle between t = 0 and t 3.00 s. (a) Number i Units (b) Number Units (c) Number i Units (d) Number Units (e) Number Units (f) Number Units (g) Number i Units (h) Number i Units (i) Number i Units

CALC An object's velocity is measured to be U₁(1) = a - Br², where a = 4.00 m/s and ß = 2.00 m/s³. At t = 0 the object is at x = 0. (a) Calculate the object's position and accel cration as functions of time. (b) What is the object's maximum positive displacement from the origin?

A particle moves along the x-axis. Its coordinate in meters is given by x(t) = 12t – 3.0t2, where the time is in seconds. The particle is momentarily at rest at t = O 2.0 s O 3.0 s O 4.0 s 5.0 s