Question Text
Question 1 :
If a particle moves such that the displacement is proportional to the square of the velocity acquired, then its acceleration is
Question 2 :
The side of a square sheet is increasing at the rate of $4 cm$ per minute. The rate by which the area increasing when the side is $8 cm$ long is.
Question 3 :
The rate of change of surface area of a sphere of radius $r$ when the radius is increasing at the rate of $2 cm/sec$ is proportional to
Question 4 :
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 5 :
A cylindrical tank of radius 10 m is being filled with wheat at the rate of 314 cubic metre pr hour. Then the depth of the wheat is increasing at the rate of
Question 6 :
If the volume of spherical ball is increasing at the rate of $4\pi \ cc/sec$ then the rate of change of its surface area when the volume is $288\pi cc$ is
Question 7 :
If base radius of a cone is increased by $20\%$ and its slant height is made double , then by how much percent will the area of its curved surface be increased?
Question 8 :
A particle moves along the y-axis so that its position at time $0\leq t\leq 20$ is given by $y(t) = 5t - \dfrac {t^{2}}{3}$. At what time does the particle change direction?
Question 9 :
Let $S$ be the focus of $y^2 = 4x$ and a point $P$ is moving on the curve such that its abscissa is increasing at the rate of $4$ units/sec, then the rate of increase of projection of $SP$ on $x + y = 1$ when $P$ is at $(4, 4)$ is
Question 10 :
A particle moves along the curve $\displaystyle y=x^{3/2}$ in the first quadrant in such a way that its distance from the origin increases at the rate of 11 units per second. The value of when x = 3 is
Question 11 :
The radius of a sphere is changing at the rate of $0.1{ cm }/{ s }$. The rate of change of its surface area when the radius is $200 cm$, is
