A dragster travels 1/4 mile in 6.1 seconds. Assuming the acceleration is constant and the dragster is initially at rest, what is the velocity when it crosses the finish line?plese explain.

The average speed during the 6.1 seconds is 0.25/6.1 = 0.04098 mi/s = 147.5 mi/hr (mph)

That is half the final velocity.

So the final velocity at the fisnih line is 295 mph

To find the velocity of the dragster when it crosses the finish line, we need to use the equation:

v = u + at

where:
- v is the final velocity
- u is the initial velocity (which is 0 in this case since the dragster is initially at rest)
- a is the acceleration
- t is the time it takes to cross the finish line

In this scenario, we are given the time it takes to travel a specific distance (1/4 mile) and want to find the velocity at the finish line.

First, let's convert the distance from miles to meters since the SI unit for distance is meters.

1 mile = 1609.34 meters (approximately)

1/4 mile = 1609.34 meters / 4 = 402.34 meters (approximately)

Next, we can calculate the acceleration using the formula:

a = (v - u) / t

Since the dragster is initially at rest (u = 0) and we are given the time (t = 6.1 seconds), we can rearrange the formula to solve for acceleration:

a = v / t

Now, we can substitute the values into the formula:

a = (402.34 meters) / (6.1 seconds)

Simplifying this calculation will give us the acceleration.

Once we have the acceleration, we can use it to find the final velocity by rearranging the initial equation:

v = u + at

Substituting the values:

v = 0 + (acceleration) × (time taken to cross the finish line)

Finally, we can calculate the final velocity by substituting the known values into this equation.