18·The total distance traveled by a car is: d-vat + ½ at2 What does each term re

Question

18·The total distance traveled by a car is: d-vat + ½ at2 What does each term represent in the above equation? 19. A car traveling with an initial velocity of 12 m/s accelerates for 5 seconds at a constan rate of 5 m/s2. a) What is its velocity at the end of this time? b) How far does it travel during this time? 20. A car traveling on a straight road, accelerates at a constant rate for 10 seconds, increasing its velocity from 0 m/s to 20 m/s. it then travels at a constant speed for 10 seconds and then decelerates at a steady rate for the next 5 seconds to a velocity of 10 m/s. It travels at this velocity for 5 seconds and then decelerates rapidly to a stop in a time of 2 seconds. Sketch a graph of the car's veiocity versus time for the enture moion jusi describeu.

Explanation / Answer

18. d = displacement in time interval.

v0 = velocity at the starting time

(or initial velocity)

t = timne interval

a= acceleration during this time period

19. (A) v = v0 + a t

v = 12 +(5 x 5)

v = 37 m/s

(B) d = v0 t + a t^2 /2

d = (12 x 5) + (5 x 5^2 / 2)

d = 122.5 m

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