Question

In October 1997, Andy Green broke the sound barrier on land in a jet-powered car. Green's car had accelerated from rest to 763 mi/h (341 m/s) over a 5.0-mi (8047-m) stretch. Assuming constant acceleration, over what time interval had he reached the top speed

Answer 1

Answer: the time interval Green had to reached the top speed is 47.2 secs

Explanation:

Given the data in the question;

first we determine Green's acceleration.

from third equation of motion, v² - u² = 2as

a = v² - u² / 2s

we substitute,

a = ( (341 m/s)² - (0)² ) / 2(8047)

a = (116281 - 0) / 16094

a = 7.23 m/s²

Now we determine the time interval need to reach top or maximum speed,

v = u + at

at = v - u

t = (v - u) / a

so we substitute

t = (341 - 0) / 7.23

t = 341 / 7.23

t = 47.2 secs

Therefore, the time interval Green had to reached the top speed is 47.2 secs