Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

the figure below shows a graph of vx The figure below shows a graph of v_x versu

ID: 1410965 • Letter: T

Question

the figure below shows a graph of vx The figure below shows a graph of v_x versus t foe the motion of a motorcyclist as he starts from rest and moves along the road in a straight line. (a) Find the average acceleration for the time interval f = 0 to f = 3.0 s (b) Estimate the time at which the acceleration has its greatest positive value. What is the value of the acceleration at that instant? (c) When is the acceleration zero? (d) Estimate the maximum negative value of the acceleration. At what time does it occur?

Explanation / Answer

a) average acceleration during time interval t = 0 to t =3s

a = dv/dt = (4-0 ) / (3- 0) = 1.33 m/s2

b) acceleration is highest when the slope is maximum

at t=4

c) maximum acceleration = (6-0)/(4-0) = 1.5 m/s2

d) maximum negative value of acceleration = (6 - 8) / (8-6) = -1 m/s2

e) it occurs at t = 8 s