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question_answer1) Read the following and answer questions from [1] to [5]. The distance travelled by a body is the actual length of the path covered by it, irrespective of the direction in which body travels. It is a scalar quantity. The displacement of a body is the change in the position of the object when it moves from a given position to another position. It is equal to the length of the shortest path measured in the direction from the initial position to the final position of the object. It is a vector quantity. In the figure given below, In moving from C to B, two paths are possible, CAB and CB, where, CAB is the distance covered and CB is the displacement of object. Choose the correct statement.
question_answer2) Displacement of a body can be
question_answer3) The velocity versus time graph of a body in motion is shown below. The displacement of the body will be
question_answer4) A particle starting from origin, moves 3 m North, 4 m East, 5 m South and then returns back to its initial position. Which of the following figures represents the path travelled by the particle?
question_answer5) A body travels a distance of 15 m from A to B and then moves a distance of 20 m at right angle to AB. The displacement of the body will be
question_answer6) Read the following and answer the questions from [6] to [10]. The distance travelled by a moving body is the actual length of the path covered by it, irrespective of the direction in which the body travels. It is a scalar quantity. Its SI unit is metre, e.g. consider the motion of an object moving along a straight path. Speed of an object is defined as the distance travelled by it per unit time. Speed of an obiect\[(v)=\frac{Distance\ (s)}{Time\ (t)}\] Speed is a scalar quantity. The SI unit of speed is metre per second (m/s). The distance travelled by an object is either positive or zero, so the speed may be positive or zero but never negative. Distance travelled by a train and time taken by it is shown in the following table Time Distance (in km) 10:00 am 0 10:30 am 25 10:40 am 28 11:00 am 40 11:15 am 42 11:30 am 50 Which of the following graph correctly shows distance-time relationship for given data?
question_answer7) At which time the train is travelling at its highest speed?
question_answer8) What is the average speed of the train?
question_answer9) At what distance does the train slow down?
question_answer10) Find the speed of train between 10:40 AM to 11:00 AM.
question_answer11) Read the following and answer the questions from [11] to [15]. A body is said to have a uniform motion, if it travels equal distances in equal intervals of time, no matter how small these intervals may be. The distance travelled by an object in uniform motion increases linearly. A train travels from one station to the next. The driver of train A starts from rest at time t = 0 and accelerates uniformly for the first 20 s. At time t = 20 s, train reaches its top speed of 25 m/s, then travels at this speed for further 30 s before decelerating uniformly to rest. Total time for the journey of train A is 60 s. Another train B is travelling in the parallel of train A with zero initial speed at t = 0 and then accelerates uniformly for first 10 s. At time t = 10 s it reaches its top speed of 30 m/s, then travels at this speed for further 20 s before decelerating uniformly to rest Total time for the journey of train B is 80 s. The correct speed-time graph for the motion of train A is
question_answer12) Calculate the deceleration of train A, as it comes to rest
question_answer13) In which time interval, speed of train B is constant?
question_answer14) What is the initial speed of trains A and B?
question_answer15) What is the numerical ratio of average velocity to average speed of an object when it is moving along a straight path?
question_answer16) Read the following and answer the questions from [16] to [20]. Any change in the velocity of an object results in an acceleration by increasing speed, decreasing speed or changing direction. Yes, that's right, a change in the direction of motion results in an acceleration even if the moving object neither speed up nor slowed down. That's because acceleration depends on the change in velocity and velocity is a vector quantity; one with both magnitude and direction. Thus, a falling apple accelerates, a car stopping at a traffic light accelerates and the moon in orbit around the Earth accelerates. Hence, acceleration occurs anytime an object's speed increases or decreases, or it changes direction. Acceleration can be defined as rate of change of which quantity?
question_answer17) Acceleration is a vector quantity. I indicates that its value can be
question_answer18) A falling apple accelerates. Which of the following is correct about its motion?
question_answer19) Which of the following is most likely not a case of uniform circular motion?
question_answer20) A car accelerates uniformly from 18 km/h to 36 km/h in 5 minutes. The acceleration is
question_answer21) Read the following and answer the questions from [21] to [25]. If an object moves in a circular path with uniform speed, then its motion is called uniform circular motion. When an object moves along a circular path, its direction of motion keeps changing continuously. The velocity changes due to continuous change in direction and thus motion along a circular path is said to be accelerated. When a body takes one round of a circular path, then it travels a distance equal to its circumference which is 271 r, where r is the radius of the circular path. Then, speed of the body moving in a circular path, \[v=2\pi r/t\], where t is the time taken for one round of circular path and n is constant having value 22/7. An insect moves along a circular path of radius 10 cm with a constant speed. It takes 1 min to move from a point on the path to the diametrically opposite point. The distance covered by the insect in reaching the diametrically opposite point is
question_answer22) The displacement covered in reaching B from A is
question_answer23) The speed acquired by the insect in moving the track from A to B is
question_answer24) What is the average velocity of insect in moving from A to B?
question_answer25) For a particle performing a uniform circular motion, the acceleration is
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