Question

3. A driver of a vehicle traveling at a speed of 30 m/s on a motorway brake sharply to a standstill in a distance of 100m. Calculate the deceleration of the vehicle.​

Answer 1

The deceleration of the vehicle is -4.5 m/s^2.

Step-by-step explanation:

To calculate the deceleration of the vehicle, we can use the equation:

deceleration = (final velocity - initial velocity) / time

In this case, the final velocity is 0 m/s (since the vehicle comes to a standstill), the initial velocity is 30 m/s, and the distance covered is 100 m. We can use the equation:

distance = (initial velocity + final velocity) / 2 * time

By rearranging and substituting the given values, we can find the time:

time = 2 * distance / (initial velocity + final velocity)

= 2 * 100 / (30 + 0)

= 6.67 s

Now we can substitute this time into the equation to find the deceleration:

deceleration = (final velocity - initial velocity) / time

= (0 - 30) / 6.67

= -4.5 m/s^2