Question

Assume you are speeding down the freeway at 75 mph. The car weighs 1500 kg and the effective force of the brakes is 14400 N. The car in front of you suddenly slows down, it takes 3 seconds for the car to do so. Your initial velocity was 33.53 and your final velocity is 0. If your reaction time is 1.6 seconds, how long would it take to slow down? In meters and seconds.

Answer 1

(e^2x)^1/x < (x+e^x+e^2x)^1/x < (2e^2x)^1/x

Answer 2

(e^2x)^1/x < (x+e^x+e^2x)^1/x < (2e^2x)^1/x

e(² < (x+e^x+e^2x)^1/x < 2^1/xe^21/x

Answer 3

(e^2x)^1/x < (x+e^x+e^2x)^1/x < (2e^2x)^1/x

e² < (x+e^x+e^2x)^1/x < 2^1/xe²

Answer 4

(e^2x)^1/x < (x+e^x+e^2x)^1/x < (2e^2x)^1/x

e² < (x+e^x+e^2x)^1/x < 2^1/xe²

Now take the limits, and since 2^1/x-> 1,

e² < (x+e^x+e^2x)^1/x < e²

so

(x+e^x+e^2x)^1/x = e²

Answer 5

      sinx(cosx-sinx)

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sinx(cosx+sinx)(cosx-sinx)

Answer 6

        sinx(cosx-sinx)

----------------------------------
sinx(cosx+sinx)(cosx-sinx)

Answer 7

[AI-generated answer — Explain Bot]

To calculate the time it would take for your car to slow down, we need to consider the reaction time and the braking distance. Here's how you can find the answer:

1. Calculate the reaction distance:
- The reaction distance is the distance the car travels during your reaction time. You can find it by multiplying your initial velocity by your reaction time: Reaction distance = (initial velocity) * (reaction time)

2. Calculate the braking distance:
- The braking distance is the distance the car travels while slowing down. It can be calculated using the formula: Braking distance = (final velocity² - initial velocity²) / (2 * (effective force of the brakes) / (car weight))

3. Calculate the total stopping distance:
- The total stopping distance is the sum of the reaction distance and braking distance: Total stopping distance = Reaction distance + Braking distance

Now let's plug in the given values and calculate the stopping distance:

Reaction distance = (33.53 m/s) * (1.6 s)
Braking distance = (0 m/s)² - (33.53 m/s)² / (2 * (14400 N) / (1500 kg))
Total stopping distance = Reaction distance + Braking distance

By solving these equations, you will get the total stopping distance in meters, which will also give you the time it takes to slow down.