Question

Define uniform acceleration. What is the acceleration of a body moving with

uniformvelocity. Find the displacement if a particle moves 3 quarter of a circle of

radius r. (1+1+1)
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Answer 1

Answer:

Explanation:

Define Uniform Acceleration?

Uniform acceleration means that the change in velocity per unit of tine is always the same in terms of magnitude and direction.

What is the acceleration of a body moving with uniform  

velocity?

Since acceleration is rate of change of velocity over time,a body moving with uniform velocity will have 0 acceleration.

a=dv/dt

For uniform velocity dv=0

Hence a=0

Acceleration of a body moving with uniform velocity is zero

Question (b)

A particle moves over three quarters of a circle of radius r. What is the magnitude of its  displacement?

Radius of circle =r

Body moves over 3 quarters

Magnitude of displacement = the hypotenuse of the 4th quarter whose Base and perpendicular r both = r unit.

Then,

(Hypotenuse)² = base² +perpendicular²

H² =r² +r²

H^2=2r²  

H=√2r²

The magnitude of its displacement √2r²