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What is the rate of change of rate of change of displacement of a body?
The rate of change of displacement of a body is velocity. The rate of change of rate of displacement of a body, or rate of change of velocity is acceleration.
Which of the following are obtained by dividing total displacement by total time taken?
The average velocity is obtained by dividing total displacement by total time taken. Instantaneous velocity is calculated at an instant and not over a period of time. Speed is distance divided by time. Velocity is said to be uniform when velocity at every instant is equal to the average velocity.
When a body is in the state of complete rest, what kind of energy does it possess?
When the body is in the state of rest, there is no motion. Hence there is no kinetic energy, hence the total energy of the body is stored as its potential energy. The total energy is the sum of kinetic and potential energies.
What kind of motion is rectilinear motion?
Rectilinear motion happens along a straight line. A straight line is one dimensional. Hence, rectilinear motion is one dimensional.
Which force can possibly act on a body moving in a straight line?
In the physical world, no surface is frictionless. Hence whenever a body moves, the force of friction acts on it. Rest all forces act on the body only when it moves along a curve and not along a straight line.
Which of the following types of motion cannot describe the motion of a clock’s hands?
The hands of a clock move in a circular manner. Hence, the motion exhibited is circular motion. Moreover, it happens periodically, so it is also periodic motion. But its is not rectilinear motion.
In which of the following states does a body possess kinetic energy?
The body moves in the state of motion. Hence it has a velocity and so kinetic energy. Kinetic energy = (1/2)mv^{2}.
The displacement of a particle is given as function of time as x = t^{2} + 2t. How much displacement is covered in the first 5 seconds?
The displacement covered in the first five seconds can be obtained by putting t = 5 in the equation. Therefore, x = 5^{5} + 2(5) = 25 + 10 = 35. Hence the answer is 35 units.
A person is standing at 2 location on the number line. He runs to and fro from 2 to +5 location 5 times. How much distance has he covered if he comes back to 2 location at the end?
In one turn the person covers 5 – (2) units of distance, i.e. 7. Therefore in 5 turns, he will cover 5 x 7 = 35 units of distance.
When person moves in the coordinate system from A (0, 0) to B (5, 10), to C (8, 6), what is the displacement covered?
The displacement is the distance between the final and the initial location. Here the final location is C and the initial is A. We can solve this by using distance between two points method. AC = Square root ((8^{2} – 0^{2}) + (6^{2} – 0^{2})) = Square root (100) = 10 units.
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