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At highway speeds, a particular automobile is capable of an acceleration of abou

ID: 1654040 • Letter: A

Question

At highway speeds, a particular automobile is capable of an acceleration of about 1.6 m/s^2. At this rate, how long does it take to accelerate from 80 km/h to 110 km/h? In a performance test, a 2015 Tesla Roadster Model S P85D accelerated uniformly from rest to 100.0 km/h in 2.92 s. (a) What was the magnitude of the car's acceleration? (b) How far did the car travel in this time? A light plane must reach a speed of 33 m/s for takeoff. How long a runway is needed if the (constant) acceleration is 3.0 m/s^2?

Explanation / Answer

here.

21)

initial speed , u = 80 km/h = 22.2 m/s

final speed , v = 110 km/h = 30.6 m/s

accelration , a = 1.6 m/s^2

let the time taken be t

v = u + a * t

30.6 = 22.2 + 1.6 * t

t = 5.2 s

the time taken is 5.2 s

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