Question Text
Question 1 :
A particle moves along a straight line according to the law $s=16-2t+3t^3$, where $s$ metres is the distance of the particle from a fixed point at the end of $t$ second. The acceleration of the particle at the end of $2$ s is
Question 2 :
A stone is dropped into a quiet lake and waves move in circles at the speed of $5$ cm/s At the instant when the radius of the circular wave is $8$ cm how fast is the enclosed area increasing?<br/>
Question 4 :
What is the rate of change of the area of a circle with respect to its radius $r$ at $r = 6$ $cm$.
Question 5 :
Excluding stoppages, the speed of a bus is $72\ kmph$ and including stoppages, it is $60\ kmph$. For how many minutes does the bus stop per hour?
Question 6 :
If the rate of change in the circumference of a circle of $0.3 cm/s$, then the rate of change in the area of the circle when the radius is $5$cm, is:
Question 7 :
The volume of a sphere is increasing the rate of $1200\ c.cm/sec$. The rate of increase in its surface area when the radius is $10\ cm$ is
Question 8 :
<p>The radius of a sphere is given by $r= 2t$. The rate of change of surface area at  $t=1$ is equal to<br/></p>
Question 9 :
A cylindrical vessel of radius $0.5 m$ is filled with oil at the rate of $0.25\pi m^3$/ minute. The rate at which the surface of the oil is rising, is
Question 10 :
The point on the curve $y^2 = 8x $ for which the abscissa and ordinate change at the same rate is.