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Neko [114]
3 years ago
13

A van traveling at a speed of 32.0 mi/h needs a minimum of 42.0 ft to stop. If the same van is traveling 67.0 mi/h, determine it

s minimum stopping distance (in ft), assuming the same rate of acceleration. ft
Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Answer:

Δx= 184.12 ft

Step-by-step explanation:

The equation you need to use is velocity as a function of displacement.

v^2= u^2 +2a(\delta x)

v = the speed at which the car is travelling,

and

v_o is the original speed (in this case zero).

The change in x (displacement) is how far the car travels. You will be solving for a (acceleration).

32^2= 0^2+ 2a\times42

solving we get

a= 12.19

now put this acceleration value into the second case when v= 67mi/h

67^2= 0^2 + 2\times12.19(change in x)

⇒Δx= 184.12 ft

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