if a football receiver ran down a field at the speed of 19 hours per hour and caught a 45 yard pass in football with the speed of the ball traveling at 55 milers per hour how long would it take it for it to get to the receiver 

To find out how long it would take for the football to reach the receiver, we need to work with the relative motion between the ball and the receiver. Here’s the process:

### Step 1: Convert speeds into consistent units.
- Speed of the receiver: 19 miles per hour.
- Speed of the football: 55 miles per hour.
- Distance of the pass: 45 yards.

To make this calculation easier, first, we convert the distance of 45 yards to miles:
\[
45 \text{ yards} = \frac{45}{1760} \text{ miles} = 0.02557 \text{ miles}.
\]

### Step 2: Calculate the relative speed.
Since the receiver is running **in the same direction** as the ball, the relative speed between the ball and the receiver is:
\[
\text{Relative speed} = 55 \text{ mph} - 19 \text{ mph} = 36 \text{ mph}.
\]

### Step 3: Use the formula for time.
The time it takes for the ball to reach the receiver can be calculated using the formula:
\[
t = \frac{\text{distance}}{\text{relative speed}}.
\]
Substitute the values:
\[
t = \frac{0.02557 \text{ miles}}{36 \text{ mph}} \approx 0.00071 \text{ hours}.
\]

### Step 4: Convert the time to seconds.
To convert hours to seconds:
\[
0.00071 \text{ hours} \times 3600 \text{ seconds/hour} = 2.55 \text{ seconds}.
\]

So, it would take approximately **2.55 seconds** for the football to reach the receiver.

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. What if the receiver was running in the opposite direction of the ball?
2. How would air resistance affect the time for the ball to reach the receiver?
3. If the ball was thrown at an angle, how would that change the calculation?
4. How does the receiver’s speed impact the time compared to if he were stationary?
5. What is the maximum speed a football can be thrown in the NFL?

**Tip:** Always make sure to convert units to the same system (miles, yards, meters, etc.) when working on physics-related problems to avoid mistakes.

If a football receiver ran down a field at the speed of 19 miles per hour and caught a 45-yard pass in football with the speed of the ball traveling at 55 miles per hour, how long would it take for the ball to get to the receiver?

Find out how long it takes for a football traveling at 55 mph to reach a receiver running at 19 mph with a 45-yard pass. This solution covers relative motion, unit conversion, and time calculation. Suitable for high school students in Grades 9-12.

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