Question

Two experimental vehicles are being driven at a constant tangential acceleration. To test their braking ability, the drivers each press the brake as hard as they can at the same time. What is the final velocity of each vehicle? Assuming they both started at the same place, which vehicle traveled the furthest?

Final velocity for Vehicle A

Final velocity for Vehicle B

Numerical Answer for the vehicle that traveled the furthest.

	Vehicle A	Vehicle B
Acceleration (Km/hr^2)	50	55
Initial Speed (Km/hr)	100	150
Time traveled before stop (hr)	2	2
10 points - Solution 1: Final Speed (Km/hr)	200	220

Answer 1

Solution for the furthest traveled vehical-

Vehical A)-

a = 0.003858 m/s² U = 27.78 m/s t= 7200 sec

Than-

S_A = Ut + 1/2at²

S_A = (27.78)*(7200) + 1/2(0.003858)*(7200)²

S_A = 200016 + 99999.36

S_A = 300015.36 m

S_A = 300.015 Km

Vehical B)-

a = 0.004243 m/s² U = 41.67 m/s t= 7200 sec

S_B = Ut + 1/2at²

S_B = (41.67)*(7200) + 1/2(0.004243)*(7200)²

S_B = 300024 + 109978.56

S_B = 410002.56 m

S_B = 410.002 Km

By comparing both the distance, we will get Vehical B will get further.

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