An object moving with uniform acceleration has a velocity of 12.0 cm/s in the positive x-direction when its x-coordinate is 3.00 cm. If its x-coordinate 2.00 s later is −5.00 cm, what is its acceleration?

The position of a particle is r(t) = (5.0t2î – 4.0j + 6.0t³k) m. (a) What is the velocity of the particle at 0 s and at 1.0 s (in m/s)? (Express your answers in vector form.) v(0 s) m/s v(1.0 s) m/s (b) What is the average velocity between 0 s and 1.0 s (in m/s)? (Express your answer in vector form.) Vavg m/s

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.

A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0s, the x components of the puck's initial velocity and acceleration are vox = +7.2 m/s and ax = +1.1 m/s². They components of the puck's initial velocity and acceleration are Voy=+3.6 m/s and ay = -1.5 m/s². Find (a) the magnitude v and (b) the direction of the puck's velocity at a time of t = 0.50 s. Specify the direction relative to the +x axis. (a) v = i (b) 0= degrees the +x axis

An object moving with uniform acceleration has a velocity of 14.5 cm/s in the positive x-direction when its x- coordinate is 3.02 cm. If its x-coordinate 2.70 s later is -5.00 cm, what is its acceleration?

After 5.2 seconds of uniform acceleration from rest, a spacecraft reaches an altitude of 5.7 x 10² meters upwards. What is the final velocity of the Spacecraft?

The velocity of a particle moving along the x-axis varies in time according to the expression v(t) = α - βt2 where α = 52.9m/s , β = 3.72m/s3,  and t is in seconds.  a) Find the acceleration in the time interval from t = 0 to 2.97s in units of m/s2 b) Determine the acceleration of the particle tf = 2.97s in m/s2

Taking north to be the positive y direction and east to be the positive x direction, particle’s position is given by r(t) = [(45.1 m/s)t]i + [(7.37 m)t2]j. At what time, in seconds, is the particle traveling directly northeast?

A car, moving to the left in a straight line in the negative x-direction, travels a distance d = 32 m during time interval Δt = 18 s. What is the value of the x-component of the car's average velocity, in m/s, during the given time interval?