An object moves along the x axis according to the equation x = 3.65t2 - 2.00t +

Question

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. Determine the average speed between t = 2.40 s and t = 4.30 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 Determine the instantaneous speed at t = 2.40 s. m/s Determine the instantaneous speed at t = 4.30 s. m/s Determine the average acceleration between t = 2.40 s and t = 4.30 s. The average acceleration is the change in velocity divided by the time interval, m/s2 Determine the instantaneous acceleration at t = 2.40 s. m/s2 Determine the instantaneous acceleration at t = 4.30 s. The instantaneous acceleration is determined by taking the second time derivative of the position versus time function, m/s2 At what time is the object at rest? s

Explanation / Answer

the velocity is

v = (dx/dt) = 3.65 x 2t - 2.00

substituting different values of t in the above equation we get different speeds

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