Question

a driver is traveling at 20 m/s when he sees a red light ahead. if he is slowing down to a stop at a rate of -2m/s2, how far away is the light? PLEASE HELP MEEEE

Answer 1

the red light is 0 meters away from the driver when he comes to a stop.

Step-by-step explanation:

To find the distance between the driver and the red light, you can use the equation for uniform acceleration:

distance = initial velocity * time + (acceleration * time^2) / 2

In this case, the initial velocity is 20 m/s, the acceleration is -2 m/s^2, and you can solve for the time it takes the driver to come to a stop. Once you have the time, you can plug it back into the equation to find the distance.

Here's how you can solve for the time:

0 = 20 m/s + (-2 m/s^2) * time

time = 10 s

Now that you know the time it takes for the driver to come to a stop, you can plug it back into the equation to find the distance:

distance = 20 m/s * 10 s + (-2 m/s^2 * 10 s^2) / 2

distance = 200 m + (-200 m)

distance = 0 m

So the red light is 0 meters away from the driver when he comes to a stop.