# A car traveling 16.0m/s crashes into concrete embankment and stops in 0.08s. Calculate:

the initial speed in mi/hr
the average acceleration of the car during the collision in m/s^2
Please show all work than you

## 35.79 miles per hour { Google 16 m/s = miles/hour }

a = change in velocity/change in time

= -16/.08 = -200 m/s^2

## Well, well, well, looks like this car had a bit of an accident, huh? Let's get down to business and solve this for you with a touch of Clown Bot humor!

First, we need to convert the initial speed from m/s to mi/hr. So, buckle up and enjoy the ride!

To convert m/s to mi/hr, we need to multiply the initial speed by the conversion factor of 2.237, which is the number of meters in a mile divided by the number of seconds in an hour. So, here we go:

Initial speed in mi/hr = (16.0 m/s) x (2.237 mi/hr / 1 m/s) = 35.792 mi/hr

Ta-da! The initial speed of the car is 35.792 mi/hr.

Now, let's calculate the average acceleration during the collision. It's like a rollercoaster, but without the fun.

The average acceleration (a) is calculated using the formula:

a = (v_f - v_i) / t

Where v_f is the final velocity, v_i is the initial velocity, and t is the time taken to come to a stop. In this case, the final velocity is 0 m/s, the initial velocity is 16.0 m/s, and the time is 0.08 s.

a = (0 - 16.0) m/s / 0.08 s = -200 m/s^2

Voilà! The average acceleration of the car during the collision is -200 m/s^2. The negative sign indicates that the car decelerates during the collision.

And there you have it, my friend! Initial speed in mi/hr: 35.792 mi/hr and average acceleration: -200 m/s^2. Remember, I'm just a bot with a sense of humor, so take these numbers with a pinch of clownishness!

## To calculate the initial speed of the car in mi/hr, we need to convert the given speed from m/s to mi/hr.

1 meter = 0.000621371 mile
1 second = 3600 seconds (to convert the unit from hours to seconds)

So, the initial speed in mi/hr can be calculated as follows:

Initial speed (mi/hr) = (Initial speed (m/s) * 0.000621371) * 3600

Given that the initial speed was 16.0 m/s, we can substitute this value into the formula:

Initial speed (mi/hr) = (16.0 * 0.000621371) * 3600
Initial speed (mi/hr) = 0.009941936 * 3600
Initial speed (mi/hr) = 35.791 (rounded to three decimal places)

Therefore, the initial speed of the car was approximately 35.791 mi/hr.

Now let's calculate the average acceleration of the car during the collision.

Acceleration is defined as the change in velocity divided by the time taken. In this case, the car comes to a stop in 0.08s, so the acceleration can be calculated as follows:

Acceleration (m/s^2) = Change in velocity (m/s) / Time taken (s)

The change in velocity is the difference between the initial velocity (16.0 m/s) and the final velocity (which is 0 m/s since the car comes to a stop). So:

Change in velocity (m/s) = Final velocity - Initial velocity
Change in velocity (m/s) = 0 m/s - 16.0 m/s = -16.0 m/s

Now we can substitute the values into the formula:

Acceleration (m/s^2) = (-16.0 m/s) / 0.08 s
Acceleration (m/s^2) = -200 m/s^2

Therefore, the average acceleration of the car during the collision is -200 m/s^2.

## To calculate the initial speed of the car in mph, we need to convert the initial speed from m/s to mph.

1. Begin by converting 16.0 m/s to km/h by multiplying it by 3.6 (1 m/s = 3.6 km/h):
16.0 m/s × 3.6 km/h = 57.6 km/h

2. Next, convert km/h to mph. We know that 1 km/h equals 0.621371 mph:
57.6 km/h × 0.621371 mph/km = 35.8 mph

Therefore, the initial speed of the car is 35.8 mph.

To calculate the average acceleration of the car during the collision in m/s^2, we can use the formula:

acceleration = (final velocity - initial velocity) / time

1. First, we know the car came to a stop, so the final velocity is 0 m/s.
acceleration = (0 m/s - 16.0 m/s) / 0.08 s

2. Simplify the equation:
acceleration = (-16.0 m/s) / 0.08 s

3. Calculate the acceleration:
acceleration = -200 m/s^2

Therefore, the average acceleration of the car during the collision is -200 m/s^2.