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Mixed Worksheet for Limits and Derivatives Class 11

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Sample questions

1. Question 1 [1 mark]
A body dropped from a tall cliff travels a distance of \( s(t) = 4.9 t^2 \) meters in \( t \) seconds. What is the average velocity of the body in the time interval between \( t = 1.5 \) seconds and \( t = 2.5 \) seconds?
(A)
\( 9.8 \text{ m/s} \)
(B)
\( 14.7 \text{ m/s} \)
(C)
\( 19.6 \text{ m/s} \)
(D)
\( 24.5 \text{ m/s} \)
2. Question 2 [1 mark]
The graph below shows the distance-time curve \( s = 4.9 t^2 \) for a free-falling body, along with secant chords \( AB_1 \) and \( AB_2 \) representing average velocities over time intervals starting at \( t = 2 \text{ s} \). As the time interval \( \Delta t \to 0 \), what geometric property of the curve at point \( A(2, 19.6) \) does the instantaneous velocity represent?
AB₂B₁C₂C₁22+t₂2+t₁Time t (s)Distance s (m)s = 4.9 t²
(A)
Area under the distance curve from \( t=0 \) to \( t=2 \)
(B)
Slope of the tangent line to the curve at point \( A(2, 19.6) \)
(C)
Length of the secant chord joining \( t=0 \) and \( t=2 \)
(D)
Sum of slopes of secants \( AB_1 \) and \( AB_2 \)
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About this Mixed Worksheet

This mixed worksheet is designed for Class 11 Maths practice from Limits and Derivatives Class 11. It uses the question types selected for this worksheet and keeps the preview representative of the complete set.

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The complete worksheet contains 10 questions. This page shows a fixed preview of 2 questions.

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Attempt the questions without the answer key, check each solution afterwards, and revise the linked chapter concepts before trying another worksheet or quiz.

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