A dragster travels 1/4 mi in 6.7 s.Assuming that acceleration is constant and the dragster is initially at rest,what is its velocity when it crosses the finish line?
A)269 mi/h
B)188 mi/h
C)296 mi/h
D)135 mi/h

Question

Quizplus · Accepted Answer

To find the final velocity, use the formula for constant acceleration: $ v = \sqrt{2as} $, where $ s = 1/4 $ mile and $ t = 6.7 $ seconds. First, convert 1/4 mile to feet (1 mile = 5280 feet), so $ s = 1320 $ feet. Then, find acceleration $ a $ using $ s = \frac{1}{2}at^2 $, giving $ a = \frac{2s}{t^2} $. Calculate $ a $ and then $ v $ in feet per second, and convert to miles per hour. The final velocity is approximately 269 mi/h.

A Dragster Travels 1/4 Mi in 6