Question 1 Being given a small nearly frictionless truck of known weight, a weight of $10$ lb., $10$ small weights of $0.05$ lb. each, and a horizontal plane fitted with pulley, describe in detail how you would show experimentally that the acceleration of a system of constant mass is proportional to the force producing the... Read More

Question 1 The following table gives the speed $v$ of a train $t$ seconds after leaving a station $A$ for portion of the journey between two stations $A$ and $B$, $4800$ ft. apart. Speed in feet per second. $0$ $18$ $34$ $40$ $44$ $45.5$ $45.5$ $42$ $35$ Time in seconds. $0$ $10$ $20$ $30$ $40$... Read More

Question 1 A particle moves along a straight line and its distance from a fixed point in the straight line is given by $s=9t-12t^3$. Calculate its average speed in the interval $t=2$ to $t=3$; its instantaneous speed at $t=4$. Find when and where its instantaneous speed is zero. Describe in a general way the motion... Read More

Question 1 The motion of a particle along a straight line is given in the following table :- Time in seconds. $0$ $0.1$ $0.2$ $0.3$ $0.4$ $0.5$ $0.6$ $0.7$ $0.8$ $0.9$ $1.0$ $1.1$ $1.2$ $2.3$ Distance in cm. $0$ $13.5$ $24.3$ $29.6$ $27.5$ $21.2$ $9.3$ $-4.7$ $-17.6$ $-26.7$ $-30.0$ $-26.7$ $-17.6$ $4.7$ Obtain approximately its... Read More

Question 1 Explain the meaning of the terms “speed at a point” and “acceleration.” The motion of a body in a straight line is given by the formula $s=10t^3$. Deduce by aid of your definitions the speed and acceleration when $t=3$. What is the relation connecting acceleration and distance? [60 marks.] Question 2 The suspension... Read More

Question 1 If a particle is moving in a straight line with a constant acceleration $f$ prove that $v^2 = u^2 + 2fs$. If the brakes of a tram bring it to rest when travelling along a level track at a speed of $12$ miles per hour in a distance of $10$ yards, find the... Read More

Question 1 If a particle is moving in a straight line with constant acceleration $f$, prove that $s=ut + \frac{1}{2} ft^2$. A stone $A$ is projected vertically upwards with velocity $48$ ft. per second and 2 seconds later a stone $B$ is projected vertically upwards from the same place at $144$ ft. per sec. Find... Read More

Question 1 A ship $A$ sailing due N. at 15 miles per hour is at a certain instant 41 miles due E. of another ship B which is sailing E. at 12 miles per hour. When will the ships be nearest together? Question 2 Explain the variations of the forces between the floor of a... Read More

Question 1 State the conditions of equilibrium of three forces acting on an extended body in one plane. $C$ is a point vertically above $A$, the pivot of light rod $AB$, and $AC=AB$. $B$ is attached to $C$ to $C$ by a cord and a mass $m$ is attached to $B$. Show that the thrust... Read More