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(1) A sports car accelerates in third gear from 48 km/h to 83.5 km/h in 3.7 s.
(a) What is the average acceleration of the car?
m/s2
(b) If the car maintained this acceleration after reaching 83.5 km/h, how fast would it be moving 3.0 seconds later?
km/h
(2) An object is moving along the x axis. At t = 5.8 s, the object is at x = +3.0 m and has a velocity of +5.7 m/s. At t = 7.9 s, it is at x = +9.0 m and its velocity is -1.0 m/s. Find the average acceleration during the time interval 5.8 s ? t ? 7.9 s.
(3) The position of an object as a function of time is given by x = At2 - Bt + C, where A = 7.9 m/s2, B = 6.2 m/s, and C = 4.5 m. Find the instantaneous velocity and acceleration as functions of time. (Use the following as necessary: t.)
v =
a =
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