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What is the final velocity of a dragster that travels 500 meters from the start line to the finish line in 5 seconds?

User Kontur
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1 Answer

1 vote

Answer:

Step-by-step explanation:

It's difficult to say unless we know what the acceleration curve looks like. Dragsters rarely have constant acceleration through the race, but let's ASSUME that this one does. We can then use the kinematic equations

s = s₀ + v₀t + ½at² and v = at

to solve.

if the origin is at the starting point where the car is at rest and towards the finish line is the positive direction.

500 = 0 + 0(5) + ½a5²

500 = 12.5a

a = 40 m/s²

v = 40(5)

v = 200 m/s

or

we can realize that with constant acceleration, the average speed will be half of the maximum speed.

d = (v/2)t

v = 2d/t

v = 2(500) / 5

v = 200 m/s

User Sheikhjabootie
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