s. Calculate average velocity and speed of the driver. 4. Using V-t graph derive equations of motion (i) v=u + at (ii) s=ut+½ at? 5. A driver of a car travelling at 54km/h applies the brakes decelerates uniformly and, the car stops in 5seconds. Another driver going at 45km/h applies his brakes slower and stopped in 10 seconds. On the (ii) v²=u²+2as. same graph paper, plot the velocity -time graph for two cars. Which of the two cars travelled farther after brakes were applied? 6. A truck driver driving on a straight highway with a velocity of 90km/h suddenly notices a child on the highway at 500m distance. If his response time is 3s then calculate the retardation which he should apply on brakes to just avoid the accident. A stone is thrown vertically upward direction with a velocity of 39.2m/s. If the acceleration of the stone during its motion is 9.8 ms in the downward direction, what will be the height attained by the 7. stone and how much time will it take to reach there? 8. Starting from rest Rohan paddles his bicycle to attain a velocity of 16m/s in 30s .Then he applies brake: such that the velocity of the bicycle comes down to 8m/s in the next 5s .Calculate the acceleration of the bicycle in both cases. Plot V-t graph for this motion and calculate total distance travelled by Rohan. 9. A ball is thrown up with a velocity of 40m/s in upward direction. Plot speed-time and velocity-time graph for the ball and calculate - (i) the time when ball will hit the ground back the maximum height attained by the ball. (ii)
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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