This graph shows an object’s velocity versus time as it is moving along the x-axis. Its initial position is x0 = 2.0 m at t0 = 0 seconds. At t = 2.0 seconds, what is the object’s position (in m)?

A race car moves such that its position fits the relationship x = (6.0 m/s)t + (0.80 m/s³)t3 where x is measured in meters and t in seconds. %3D (a) A plot of the car's position versus time is which of the following? X (m) 260 240 220 200 180 160 140 120 100 80 60 40 20 X (m) 240 220 200 180 160 140 120 100 80 60 40 20 (a) Dt te 100 200 (b) De +t(s) 6.00 t (s) 6.00 1.00 2.00 3.00 4.00 5.00 1.00 2.00 3.00 4.00 5.00 X (m) X (m) 100 90 30 80 25 70 60 20 50 40 15 30 10 20 10 5 t (S) 6.00 1.00 2.00 3.00 t (s) 6.00 4.00 5.00 1.00 2.00 3.00 4.00 5.00 (b) Determine the instantaneous velocity of the car at t = 3.7 s, using time intervals of 0.40 s, 0.20 s, and 0.10 s. (In order to %3D better see the limiting process keep at least three decimal places in your answer.) At = 0.40 s m/s (Use the interval fromt = 3.50 s to 3.90 s.) %3D %3D At = 0.20 s m/s (Use the interval from t = 3.60 s to 3.80 s.) %3D At = 0.10 s m/s (Use the interval from t = 3.65 s to 3.75 s.) %3D (c) Compare the average…

The velocity of an object as a function of time is given by  v=3t2+5t-12 m/s, where t is in seconds. If the object has a position x = 8.00 m at t = 2.00 s, what is the position of the object at time t = 5.00 s?

The figure(Figure 1) shows the velocity graph of a particle moving along the x-axis. Its initial position is x0=2m t0= 0. At t = 3s , what are the particle's (a) position, (b) velocity, and (c) acceleration?