The acceleration characteristics of a racing car was approximated and plotted as shown below. Draw the x vs t and v vs t graphs. If one mile is equivalent to 1.60 km, determine the velocity (kph) at ¼ mile and ½ mile and the time to cover those distances, assuming x(0)=0 and v(0)=0, and determine the race car’s top speed and the distance it covers to attain top speed.

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11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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The acceleration characteristics of a racing car was approximated and plotted as shown below. Draw the x vs
t and v vs t graphs. If one mile is equivalent to 1.60 km, determine the velocity (kph) at ¼ mile and ½ mile and
the time to cover those distances, assuming x(0)=0 and v(0)=0, and determine the race car’s top speed and the
distance it covers to attain top speed.

a
(m/s")
0 t1
t2
t3
t4
t5
t6
t (s)
Transcribed Image Text:a (m/s") 0 t1 t2 t3 t4 t5 t6 t (s)
t0 = Os a0 = 4.5 m/s²
tl = 2s al = 6 or al = 4
t2 = 5s a2 = 5 or a2 = 3.5
t3 = 8s a3 = 4 or a3 = 3
t4 = 12s a4 = 3 or a4 = 1.8
t5 = 17s a5 = 1.8 or a5 = 1.2
t6 = 24s a6 = 1.2 or a6 = 0
Transcribed Image Text:t0 = Os a0 = 4.5 m/s² tl = 2s al = 6 or al = 4 t2 = 5s a2 = 5 or a2 = 3.5 t3 = 8s a3 = 4 or a3 = 3 t4 = 12s a4 = 3 or a4 = 1.8 t5 = 17s a5 = 1.8 or a5 = 1.2 t6 = 24s a6 = 1.2 or a6 = 0
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