(1)A sports car accelerates in third gear from 48 km/h to 83.5 km/h in 3.7 s. (a
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Question
(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
Explanation / Answer
a) v=u +a t a = ( 23.19-13.33)m/s / 3.7 = 2.665m/s2 b) v= 23.19 + 2.665*3 = 31.18m/s2 = 112.26 km/h 2) v2-u2 = 2as a= (5.7^2-1^2)/2*6 = 2.62 3) v = dx/dt = 2At-B = 15.8t-6.2 a= dv/dt = 2A = 15.8
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