A car is driving with a velocity of 108km/h suddenly a child crosses the road 100m in frond of the car. the driver applies brakes and comes to a stop in 5 second. Calculate the acceleration of the car
Does the car stop before hitting the child?
Yes
Vo = 108,000m/3600s = 30 m/s.
V = Vo + a*t = 0, a = -Vo/t = -30/5 = -6.0 m/s^2.
20.8km/s
Yes
To calculate the acceleration of the car, we can use the equation:
acceleration = (final velocity - initial velocity) / time
In this scenario, the car is initially traveling with a velocity of 108 km/h. To convert this to m/s, we divide by 3.6 since 1 km/h is equal to 1/3.6 m/s.
Initial velocity (v0) = 108 km/h = (108/3.6) m/s = 30 m/s
The car comes to a stop in 5 seconds, which is our time (t) value.
Final velocity (v) = 0 m/s
Using the equation, we can substitute the values:
acceleration = (0 - 30) / 5
acceleration = -30 / 5
acceleration = -6 m/s²
Therefore, the acceleration of the car is -6 m/s². The negative sign indicates that the car is decelerating or slowing down.