Question

where the symbols have their usual meanings.
iple Choice Questions (MCQs)
A bus increases its speed from 36 km/h to 72 km/h in 10 seconds. Its acceleration is :
(a) 5 m/s2
(b) 2 m/s2
(c) 3.6 m/s2
(d) 1 m/s2
A bus moving along a straight line at 20 m/s undergoes an acceleration of 4 m/s2. After 2 seconds, its spa
will be :
(a) 8 m/s
(b) 12 m/s
(c) 16 m/s
(d) 28 m/s
The slope of a speed-time graph gives :
(a) distance travelled (b) velocity
(c) acceleration
(d) displacement
The area under a speed-time graph represents a physical quantity which has the unit of :
(a) m
(c) m s-1
(d) m s-2
If the displacement of an object is proportional to the square of time, then the object is moving with:
(a) uniform velocity
(b) uniform acceleration
c) increasing acceleration
(d) decreasing acceleration
Four cars A, B, C and D are moving on a levelled, straicht
(b) m2​

Answer 1

Answer:

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Answer 2

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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.