A body changing from 10 m/s to 30 m/s in 5 s has acceleration 4 m/s², and the slope of a velocity–time graph gives acceleration, so this Class 11 sheet opens with the acceleration calculation and its graph. A 20 m displacement answer follows in the key.
Key Takeaways
From 10 m/s to 30 m/s in 5 s gives 4 m/s² (Q1).
The slope of a velocity–time graph is acceleration (Q2).
Q3 records 20 m as a displacement answer.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.A body moving with uniform acceleration changes its velocity from 10 m/s to 30 m/s in 5 s. Its acceleration is:
6.A particle moves 3 m towards north and then 4 m towards east. The magnitude of its displacement is:
(a) 7 m(b) 5 m(c) 1 m(d) 3 m
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Define displacement and state how it differs from distance travelled.
8.Write the three kinematic equations for uniformly accelerated motion along a straight line.
9.Define relative velocity. Write the expression for the relative velocity of object A with respect to object B moving along the same line.
10.What physical quantity is represented by the area under a velocity-time graph?
11.Distinguish between average velocity and instantaneous velocity.
12.A body is thrown vertically upward. What are its velocity and acceleration at the highest point of its motion?
13.Define uniform and non-uniform acceleration with one example of each.
14.State the sign conventions commonly used for describing motion along a straight line.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.A car accelerates uniformly from rest to a speed of 72 km/h in 10 s. Using v = u + at and s = ut + ½at², find its acceleration and the distance covered.
16.A stone is dropped from the top of a tower 80 m high. Taking g = 10 m/s² and using h = ½gt² and v = gt, find the time taken to reach the ground and the speed just before impact.
17.A ball is thrown vertically upward with a speed of 30 m/s. Taking g = 10 m/s², find the maximum height reached and the total time of flight.
18.Two trains, each 100 m long, move in opposite directions with speeds 20 m/s and 10 m/s. Using relative speed = sum of speeds, find the time taken to cross each other completely.
19.A body moves at 5 m/s for 10 s and then at 10 m/s for 20 s in the same direction. Find the average velocity over the whole journey.
20.A particle starts from rest with uniform acceleration 2 m/s² for 5 s. Using v = u + at and s = ut + ½at², find its velocity and the distance covered in the first 5 s.
Answer Key
1. a) 4 m/s²
2. b) acceleration
3. c) 20 m
4. b) acceleration g directed downward
5. b) vector quantity
6. b) 5 m
7. Refer to solution guide.
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End of Worksheet
People Also Ask
What is the acceleration from 10 m/s to 30 m/s in 5 s?
4 m/s², option (a) in this worksheet (Q1).
What does the slope of a velocity–time graph give?
Acceleration, option (b) in this worksheet (Q2).
What is the displacement when u = 0, a = 2 m/s² and t = 5 s?
20 m, option (c) in this worksheet (Q3).
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