A driver take 0.20 second to apply the breaks (reaction time). If he is
driving car at a speed of 54 kmh–1 and the breaks cause a deceleration
of 6.0 ms–2. Find the distance travelled by car after he sees the need to
put the breaks.
nah
To find the distance traveled by the car after the driver sees the need to apply the brakes, we can use the formula:
distance = initial velocity * time + 0.5 * acceleration * time^2
First, we need to convert the initial velocity from km/h to m/s. We know that 1 km/h is equal to 0.2778 m/s, so:
initial velocity = 54 km/h * (0.2778 m/s / 1 km/h)
initial velocity = 15 m/s
Now we can substitute the given values into the formula:
distance = 15 m/s * 0.20 s + 0.5 * (-6.0 m/s^2) * (0.20 s)^2
distance = 3 m - 0.12 m
distance = 2.88 m
Therefore, the distance traveled by the car after the driver sees the need to apply the brakes is approximately 2.88 meters.