### More About Steady Velocity :

When the body is in uniform motion it covers equal displacement in equal interval of time.

For a body moving with steady velocity acceleration is zero.

If a body moves with uniform velocity, Initial velocity (u) and Final velocity (v) are equal.

From the definition of acceleration: **Acceleration = change in velocity / time**

∴ Acceleration = v – u / t = 0 / t ( v = u ) =0

Instantaneous velocity and average velocity are same for a body moving with steady velocity.

#### Worked Example:

**Example 1:**A person is moving on bicycle with steady velocity of 50 meters per minute. Calculate the distance travelled by the person in 4 minutes.

A. 50 Meters

B. 100 Meters

C. 200 Meters

D. 400 Meters

**Correct answer is C.**

#### Solution:

**Step 1:** Steady velocity of the person = 50 meters in one minute

**Step 2:** Distance covered by the person in one minute = 50 meters

**Step 3:** Distance covered by the person in 4 minutes = 4 x 50 = 200 meters

**Example 2:**A car starts from rest, and covers a distance of 30 meters in 5 seconds, then it moves with a steady velocity of 20m/s for next 10 seconds and then it comes to rest after 2 seconds by covering a displacement of 5 meters. Total how much distance was covered in this journey?

A. 55 meters

B. 235 meters

C. 200 meters

D. 150 meters

**Correct answer is ‘B’.**

#### Solution

**Step 1:** Distance travelled by the car in 1st 5 seconds = 30 meters

**Step 2:** Distance travelled by the car in next 10 seconds = 10 X 20 = 200 meters (20m/s steady velocity for 10 seconds)

**Step 3:** Distance travelled by the car in the last 2 seconds = 5 meters

**Step 4:** Total distance travelled by the car = 30m + 200m + 5m = 235 meters

**Example 3:**A body is moving with a uniform velocity. If its instantaneous velocity at 4th second is 80m/s., what is the average velocity of the body in first 10 seconds?

A. 10m/s

B. 40m/s

C. 100m/s

D. 80m/s

**Correct answer is "D".**

#### Solution

**Step 1:** The body is moving with steady velocity.

**Step 2: **Instantaneous velocity of the body in 4th second is 80m/s.

**Step 3:** For a body travelling with steady velocity instantaneous velocity and average velocity are same.

**Step 4:** Average velocity = Instantaneous velocity = 80m/s.

**Related terms:**Steady speed | uniform acceleration | Retardation