Question

A professional football quarterback throws a ball 32 yards down field to a receiver at a speed of 60 miles per hour. A mile equals 1,760 yards. Once the quarterback realizes the ball, the football gets to the receiver in about _____ seconds.

Answer 1

To calculate the time it takes for a football thrown at 60 miles per hour to travel 32 yards, we convert the speed to yards per second, resulting in 88 yards per second. Then, we divide the distance by the speed, 32 yards / 88 yards per second, to find it takes approximately 0.36 seconds for the ball to reach the receiver.

Step-by-step explanation:

To determine how long it takes for a football to reach a receiver 32 yards downfield when thrown at a speed of 60 miles per hour, we need to convert the speed into yards per second. Since one mile is equal to 1,760 yards, we can calculate that 60 miles per hour is equivalent to 88 feet per second (since 60 * 1,760 / 3,600 seconds per hour = 88 yards/second). Knowing this, we can calculate the time it takes for the ball to reach the receiver by using the formula:

Time = Distance / Speed

Therefore, for a distance of 32 yards at a speed of 88 yards per second, the time would be:

32 yards / 88 yards per second ≈ 0.3636 seconds

The football reaches the receiver in approximately 0.36 seconds.