Question

An object starts with initial velocity (a) and attains final velocity (v) the velocity is changing at a uniform rate what is formula for calculating average speed in this situation

Answer 1

Hello Friend,

Here's the answer.

→Let initial velocity = u
Final velocity = v

→ Velocity is changing at a uniform rate. This means that the motion is uniformly accelerated.

Let acceleration be a.

Also, let distance travelled be s.

So, v² = u² + 2as
So, s = (v² - u²)/2a -----(1)

Also, v = u + at
So, t = (v-u)/a -----(2)

→Now,
Let average speed be V(avg).

Then V(avg) = Total Distance/Total Time

So, V(avg) = s/t
So, V(avg) = [(v²-u²)/2a] ÷ [(v-u)/a]
So, V(avg) = [(v+u)(v-u)/2] ÷ (v-u)
So, V(avg) = (v+u)/2


Thus, average speed is the average of initial and final velocities in this case.

Hope it helps.

Purva
@Purvaparmar1405
Brainly.in

Answer 2

An object starts with initial velocity (a) and attains final velocity (v) the velocity is changing at a uniform rate what is formula for calculating average speed in this situation