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question_answer1) A rabbit moves a distance of 8 cm from P to Q and then moves a distance of 6 cm at right angles to PQ. What is the magnitude of its displacement?
question_answer2) A man has to go 50 m due north, 4.0 m due east and 20 m due south to reach a field from his house. (a) What distance should he walk to reach the field? (b) What is his displacement from his house to the field?
question_answer3) A car moves 2.00 km towards east, makes a perpendicular left turn and travels 500m, makes a perpendicular right turn and travels 4.00 km and finally stops. Find the displacement of the car.
question_answer4) A body covers an arc of a circle of radius 'r', subtending an angle of \[{{12}^{o}}\] at the centre of the circle. What is the magnitude of the displacement of the body? [Hint: Any line passing through the centre of the circle bisects the chord of the circle]
question_answer5) A car travels the first half of a distance between two places at a speed of 30 km/h and the second half of the distance at 50 km/h. Find the average speed of the car for the whole journey.
question_answer6) A car moves for half of its total travel time with a speed 80 km/h and for next half of the time at 40 km/ h. The total distance covered is 60 km. Find the average speed of the car.
question_answer7) A man travelling in a straight line moves with a uniform velocity \[{{v}_{1}}\]for a certain distance and with a uniform velocity \[{{v}_{2}}\]for the next equal distance. Find the average velocity (v).
question_answer8) There is a square field of side a units. A tortoise starts from one corner and reaches the diagonally opposite corner of the field in a time interval of t. Find the magnitude of the average velocity of the tortoise.
question_answer9) A train travels at a speed of 60 km/h for 0.5 h, at 30 km/h for the next 0.2 h and then at 70 km/h for the next 0.7 h. What is the average speed of the train?
question_answer10) An object moves with an acceleration of \[8m{{s}^{-2}}\], starting from rest. Find the distance travelled in one second.
question_answer11) A body starts with a velocity of \[\text{4}0\text{ m}{{\text{s}}^{-\text{1}}}\] and moves with an acceleration of\[\text{1}0\text{ m}{{\text{s}}^{-\text{2}}}\]. Calculate the distance travelled by it in\[\text{1}{{\text{5}}^{\text{th}}}\] second.
question_answer12) A train starting from rest and moving with a uniform acceleration attains a speed of 90 km/h in 5 minutes. Find the distance travelled by the train.
question_answer13) A person travelling on a scooter at 43.2 km/h applies the brakes, giving a deceleration of\[\text{6}.0\text{m}/{{\text{s}}^{\text{2}}}\]to his scooter. How far will it travel before stopping?
question_answer14) A body moving with uniform acceleration covers 100 m in the first 10 seconds and 150 m in the next 10 seconds. What is the initial velocity of the body?
question_answer15) A car accelerates from rest at a constant rate \[\alpha \]for some time after which it decelerates at a constant rate\[\beta \]to come to rest. If the total time taken is t, find the maximum velocity attained by the car.
question_answer16) A car accelerates from rest at a constant rate for some time and attains a velocity of 8 m/s. Afterwards, it decelerates at a constant rate and comes to rest. If the total time taken is 4 s, find the total distance travelled by the car.
question_answer17) A car moving on a road with uniform acceleration covers 20m in the first second and 30m in the next second. Find the acceleration of the car.
question_answer18) A particle starting from rest from 0 accelerates uniformly along a straight line and in 2 s crosses two points A and B, which are 5 m apart. If velocity at B is 2 m/s more than the velocity at A, find the distance OA.
question_answer19) Two cars are travelling towards a junction along two intersecting roads. One of them is 200 m away and is moving uniformly at 10 m/s. The other, located 100 m away, starts from rest and accelerates uniformly at \[\text{2 m}/{{\text{s}}^{\text{2}}}\]towards the junction. What is the interval between the moments when the cars pass the intersection?
question_answer20) Two cars are moving on a straight road with the one car 200m away from the other at the same speed. At a certain moment, brakes are applied to the rear car, which decelerates uniformly, travelling 20 m before coming to rest. Find the distance between the cars at the moment the rear car comes to rest.
question_answer21) The graph given below is the distance-time graph of an object. Do you think it represents a real situation? Explain.
question_answer22) The figure given below is the distance-time graph of three objects. Do you think it represents a real situation? Explain. (i) Which of the three is travelling the fastest? (ii) Can all three ever be at the same point on the road? (iii) When B passes A, where is C? (iv) How far did B travel between the time B passed C?
question_answer23) Figure shows the displacement (x) - time (t) graph of a particle moving on the x-axis. Choose the correct statement. (a) The particle is at rest. (b) The velocity of particle increases up to time \[{{t}_{0}}\]and then increases. (c) The velocity of particle increases up to time \[{{t}_{0}}\] and then becomes constant. (d) The particle moves at a constant velocity up to a time \[{{t}_{0}}\], and then stops.
question_answer24) The displacement-time graph of a lift climbing up from the ground floor to the top of a building is given in the figure alongside. Using this graph, answer the following: (a) What are the states of motion at A, B and C? (b) Plot the velocity-time graph of the lift.
question_answer25) The driver of a car travelling at 52 km/h applies the brakes and decelerates uniformly. The car stops in 5 seconds. Another driver going at 34 km/h applies his brakes slower and stops after 10 seconds, hi the same graph, plot the speed versus time graph of the two cars. Which of the two cars travelled farther after the brakes were applied?
question_answer26) What happens to the step-wise increasing speed- time graph when the size of each step becomes very small?
question_answer27) The velocity-time graph of a body moving in a straight line is as shown in the figure. What is the displacement of the body in five seconds?
question_answer28) Refer figure. Find the ratio of speed in first two seconds to the speed in the next four seconds.
question_answer29) From the graph find the total distance travelled by a particle and its average velocity.
question_answer30) Acceleration-time graph of a particle moving in a straight line is shown in figure. Velocity of particle at time t = 0 is 2 m/s. Find the velocity at the end of fourth second.
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