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WORKSHEET ON KINEMATICS, Question 1., A bus start at Station A from rest with uniform acceleration 2m/sec2.Bus moves along a straight line, a. Find the distance moved by the bus in 10 sec?, b. At what time, it velocity becomes 20m/sec?, c. How much time it will take to cover a distance of 1.6km, Question 2., A object is moving along a straight line. The motion of that object is described by, x=at+bt2+ct3, where a, b, c are constants and x is in meters and t is in sec., a. Find the displacement at t=1 sec, b. Find the velocity at t=0 and t=1 sec, c. Find the acceleration at t=0 and t=1 sec, Question 3., An object is thrown vertically upward with an initial velocity of 40m/s.Two second later another, object is thrown upward with the same velocity., Find out following, a. At what height they meet?, b. What is the time when they meet?, c. What are the velocities of each object when they meet?, Question 4., A particle moves along the x-axis according to the following equation x=pt(1−qt) where p and q are, constants and p > 0, q>0. Let take i as the unit vector across x-axis, a. Find out the velocity and acceleration vector for the particle, b. What time it will reach its initial point and what will be the total distance traversed?, Question5., A Balloon rises from rest on the ground vertically upwards with a constant acceleration . An object is, dropped from the balloon when it has risen to the height h. Find out the time taken by the object to, reach the ground., Question 6., A Police Motorcycle is moving on a highway with a speed vm fires a bullet at thief motorcycle speeding, away in the same direction with a speed vt(vt>vm). If the muzzle speed of the bullet is vb(vb>vt−vm) find, out the following, a. What is the speed of the bullet with respect to the observer sitting on the ground?, b. What speed will the bullet hit the thief, c. What will the speed of the bullet with respect to another police motorcycle moving in the same, direction at a speed of v., Question 7., A nut comes loose from a bolt on the bottom of the elevator as the elevator is moving up the shaft at 3, m/s. The nut strikes the bottom of the shaft in 2 sec, Find out the following, a. How far from bottom of the shaft was the elevator when the nut fell off?, b. How far above the bottom of the shaft was the nut .25 sec after the fell off.?, c. How far above the bottom of the shaft was the elevator when the nut fell on the ground?, d. At what height above the bottom of the shaft, nut has zero velocity after the fell off?, e. what is the total distance traveled by nut in it motion after the fell off?, Given g=9.8 m/s2

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WORKSHEET ON KINEMATICS, Question 8., The displacement of the body x(in meters) varies with time t (in sec) as x=−23t2+16t+2 find following, a. what is the velocity at t=0,t=1, b. what is the acceleration at t=0, c. what is the displacement at t=0, d. what will the displacement when it comes to rest, e. How much time it takes to come to rest?, Question 9., A man runs at a speed at 4 m/s to overtake a standing bus. When he is 6 m behind the door at t=0,the, bus moves forward and continues with constant acceleration of 1.2 m/s2 find the following, a. how long does it take for the man to gain the door, b. if in the beginning he is 10m behind the door ,will he running at the same speed ever catch up bus?, Question 10. The v-t graph of two objects make angle of 300 and 60 0 with the time axis. Find the ratio, of their acceleration.

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WORKSHEET ON KINEMATICS, ANSWER KEY, Q1., , Q2., Now first step to attempt such question is to visualize the whole process. Here the object is moving, along a straight line and its motion is described by the given equation, Now we