Explanation:
Given that,
The speed of a football, v = 40 km/h
The distance between a quarterback and a receiver is, d = 50 yards
To find,
The time taken by the ball to reach the receiver.
Solution,
First km/h is converted to m/s.
\(40\ km/h=\dfrac{40\times 1000}{3600}\\\\=11.11\ m/s\)
Also, \(1\ yd=0.9144\ m\\\\50\ yd=45.72\ m\)
Let t is the time taken by the ball to reach the receiver. We know that,
\(\text{Speed}=\dfrac{\text{distance}}{\text{time}}\)
So,
\(t=\dfrac{d}{v}\)
Put all the values,
\(t=\dfrac{45.72}{11.11}\\\\t=4.115\ s\)
or
\(t=4.12\ s\)
Answer:
The time taken by the ball to reach the receiver is \(4.12\ s\).
Reference,
https://brainly.com/question/10812167
