it is denoted by

s = ut + ½ at
^{
2
}

Distance=Initial Velocity × Time + 1/2acceleration × time
^{
2
}

Where

s = Distance Travelled

u = Initial Velocity

t = time taken

a = acceleration

#### How is this Equation Derived?

## Questions

**
Q 1 Page 109 -
**
A bus starting from rest moves with a uniform acceleration of 0.1 m s-2 for 2 minutes. Find (a) the speed acquired, (b) the distance travelled

**
Q 4 Page 110 -
**
A racing car has a uniform acceleration of 4 m s-2. What distance will it cover in 10 s after start?

**
NCERT Question 4 -
**
A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 m s–2 for 8.0 s. How far does the boat travel during this time?

**
Example 8.6 -
**
A car accelerates uniformly from 18 km h–1 to 36 km h – 1 in 5 s.Calculate (i) the acceleration and (ii) the distance covered by the car in that time.

**
Example 8.7 -
**
The brakes applied to a car produce an acceleration of 6 m s-2 inthe opposite direction to the motion. If the car takes 2 s to stop after the application of brakes, calculate the distance it travels during this time.