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question_answer1) A particle starts from the origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position (in metre) of the particle at time \[t=5s?\]
question_answer2) A car travels half the distance with constant velocity of 40 kmph and the remaining half with a constant velocity of 60 kmph. The average velocity of the car (in kmph is)
question_answer3) The position of an object moving along x-axis is given by \[a+b{{t}^{2}}\], where \[a=8.5m\] and \[b=2.5\text{ }m/{{s}^{2}}\] and t is measured in seconds. The average velocity (in m/s) of the object between \[t=2s\] and \[t=4s\] is
question_answer4) A car moves a distance of 200 m. It covers the first half of the distance at speed 40 km/h and the second half of distance at speed v (km/h). The average speed is 48 km/h. Find the value of v
question_answer5) A bus travelling the first one third distance at a speed of 10 km/h, the next one third at 20 km/h and the last one-third at 60 km/h. The average speed (in km/h) of the bus is
question_answer6) The \[v-t\] graph for a particle is as shown below. The distance (in metre) travelled in the first four seconds is
question_answer7) The \[v-t\] plot of a moving object is shown in the figure. The average velocity of the object during the first 10 seconds is
question_answer8) A motor car moving with a uniform speed of 20 m/sec comes to stop on the application of brakes after travelling a distance of 10 m, its deceleration is
question_answer9) A body moves from rest with a constant acceleration of \[5\text{ }m/{{s}^{2}}\]. Its instantaneous speed (in m/s) at the end of 10 sec is
question_answer10) A bus starts moving with acceleration\[2\,m/{{s}^{2}}\]. A cyclist 96 m behind the bus starts moving simultaneously towards the bus at a speed of 20 m/s. After what minimum time will he be able to overtake the bus?
question_answer11) The displacement x of a particle at the instant when its velocity is v is given by \[v=\sqrt{3x+16}\]. Its initial velocity is
question_answer12) A body starts from rest, if the ratio of the distance travelled by the body during the 4th and 3rd second is \[\frac{x}{5}\] Find the value of x.
question_answer13) If a ball is thrown vertically upwards with a velocity of 40 m/s, then velocity (in m/s) of the ball after two seconds will be \[\left( g=10\text{ }m/{{s}^{2}} \right)\]
question_answer14) A stone falls from a balloon that is descending at a uniform rate of 12 m/s. The displacement (in metre) of the stone from the point of release after 10 sec is
question_answer15) The water drops fall at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap at an instant when the first drop touches the ground. How far (in metre) above the ground is the second drop at that instant? \[\left( Take\text{ }g=10\text{ }m/{{s}^{2}} \right)\]
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