O Timer Notes Evaluate Feedback-Print Two rather unequal Car 2 gets off to a lat
ID: 1871757 • Letter: O
Question
O Timer Notes Evaluate Feedback-Print Two rather unequal Car 2 gets off to a late start, 0.7 seconds after Car 1 At what time after Car 1 took of wil it be overtaken by Car 27 32 cars are competing in a drag race. For simplicity, let's assume that the accelerations of the cars are constant. Car 1 has an acceleration of 3.7 mys, while Car 2 has an acceleration of 63m Tries 2/3 Previus Tries How far down the track will this happen? 19 m Submit Answer Tries 1/3 Previous Tries How much faster will Car 2 be than Car 1 by that time Submit Answer Tries 0/3 Post Discussion Send Feedback MacBook Air 3 4 5 6 8 9Explanation / Answer
Solution-
car1: a=3.7m/s^2 , car2: a=6.3m/s^2
(a) 1/2*3.7*t^2= 1/2*6.3*(t-0.7)^2
=>1.55t^2= 3.15(t^2+0.49-1.4t)
=>1.55t^2-3.15t^2-1.5435+4.41t=0
=> -1.6t^2+4.41t-1.5435=0
t= 2.34 [s] after.
(b) d= 1/2*3.7*2.34^2= 10.13[m] approx.
(c) car1: v=at = 3.7*2.34= 8.658m/s
car2: v=at = 6.3*(2.34-0.7)= 10.332m/s
10.332-8.658= 1.674 [m/s] faster than car1.
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