Average Speed and Instantaneous Velocity NEET Questions

Average Speed and Instantaneous Velocity MCQ Questions

7.
Which of the following correctly defines instantaneous velocity?
A.
v = Δx/Δt for finite Δt
B.
v = lim(Δt→0) Δx/Δt = dx/dt
C.
v = total displacement / total time
D.
v = total path length / total time
ANSWER :
B. v = lim(Δt→0) Δx/Δt = dx/dt
8.
On a position–time graph, instantaneous velocity at a point equals:
A.
Slope of chord from origin to that point
B.
Area under the graph up to that point
C.
Slope of the tangent at that point
D.
Reciprocal of the slope of the tangent
ANSWER :
C. Slope of the tangent at that point
9.
Average speed over a time interval can be less than the magnitude of average velocity.
A.
True — if the particle decelerates
B.
True — if the particle changes direction
C.
False — average speed is always ≥ |average velocity|
D.
True — only for non-uniform motion
ANSWER :
C. False — average speed is always ≥ |average velocity|
10.
A particle starts from rest and moves with uniform acceleration. The ratio of the distances covered in the 1st, 2nd, and 3rd seconds is:

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A.
1:02:03
B.
1:03:05
C.
1:04:09
D.
1:05:09
ANSWER :
C. 1:04:09
11.
Position x = a + bt². If average velocity between t = 2 s and t = 4 s is 15 m/s, b equals:
A.
1.5 m/s²
B.
2.5 m/s²
C.
3.5 m/s²
D.
5.0 m/s²
ANSWER :
B. 2.5 m/s²
12.
As Δt → 0 on a position–time graph, the chord P₁P₂:
A.
Becomes parallel to the x-axis
B.
Becomes the tangent to the curve at P
C.
Becomes vertical
D.
Remains the same slope
ANSWER :
B. Becomes the tangent to the curve at P