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Please help i have tryed everything

Please help i have tryed everything-example-1
User Cexbrayat
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To find the distance traveled and the acceleration of the bicyclist, we can use the following steps:

1. Convert the initial and final velocities from mph to ft/s:

- The initial velocity is 0 mph, which is 0 ft/s.

- The final velocity is 30.0 mph, which is 44 ft/s (1 mph = 1.47 ft/s).

2. Use the formula for distance traveled during constant acceleration:

- The formula is: distance = (initial velocity * time) + (0.5 * acceleration * time^2).

- Since the initial velocity is 0, the formula simplifies to: distance = 0.5 * acceleration * time^2.

3. Rearrange the formula to solve for distance:

- distance = 0.5 * acceleration * time^2.

4. Substitute the given values into the formula:

- The time is 5.30 s.

- The final velocity is 44 ft/s.

- Rearranging the formula, we get: distance = 0.5 * acceleration * (5.30 s)^2.

5. Solve for distance:

- Substitute the values into the formula and calculate the distance:

distance = 0.5 * acceleration * (5.30 s)^2.

6. Calculate the acceleration:

- Rearrange the formula to solve for acceleration:

acceleration = (2 * distance) / (time^2).

7. Substitute the known values into the formula and calculate the acceleration:

- acceleration = (2 * distance) / (5.30 s)^2.

By following these steps, you can find the distance traveled (in ft) and the acceleration (in ft/s²) of the bicyclist.

I hope this explanation clarifies how to calculate the distance traveled and the acceleration. Let me know if you have any further questions!

User Berenbums
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