3. during entire journey speed of train A and B respectively
(a) non uniform,uniform (b) uniform,non uniform
(c) non uniform,non uniform (d) uniform,uniform
4.if the displacement of an object is proportional to time taken then the object moves with
(a) uniform velocity (b) uniform acceleration
(c) increasing velocity (d) increasing acceleration
5.if the displacement of an object is proportional to square of time,then the object moves with
(a) uniform velocity (b) uniform acceleration
(c) increasing velocity (d) increasing acceleration
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Object moves with Uniform Acceleration.
EXPLANATION
Displacement is proportional to square of time
⠀⠀⠀⠀⠀⠀⠀⠀⠀s ∝ t²
⠀⠀⠀⠀⠀⠀⠀⠀⠀s = kt²
⠀⠀⠀ , where k is constant of proportionality.
Differentiating Displacement , we get Velocity (v)
⠀⠀⠀⠀⠀⠀⠀ ds/dt = 2kt
Differentiating Velocity , we get Acceleration (a)
⠀⠀⠀⠀⠀⠀ dv/dt = 2k = constant.
ᗇ So, object moves with Constant Acceleration.
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