A car is moving down a street at 51 km/h. A child suddenly runs into the street. If it takes the driver 0.62 s to react and apply the brakes, how many meters will the car have moved before it begins to slow down?
To find out how many meters the car will have moved before it begins to slow down, we need to calculate the distance it travels during the reaction time of the driver.
We can use the formula:
Distance = Speed × Time
First, we need to convert the speed from km/h to m/s since the reaction time is given in seconds. To convert km/h to m/s, we divide the speed by 3.6:
Speed = 51 km/h ÷ 3.6 = 14.17 m/s (rounded to two decimal places)
Now, we can calculate the distance traveled during the reaction time:
Distance = Speed × Time
= 14.17 m/s × 0.62 s
= 8.79 meters (rounded to two decimal places)
Therefore, the car will have moved 8.79 meters before it begins to slow down.