Questions in differentiation

SelectQuestion
A ball thrown vertically upwards falls back on the ground after 6 second. Assuming that the equation of motion is of the form $s=ut-4.9{{t}^{2}}$ , where s is in metre and t is in second, find the velocity at $t=0$
Radius of a circle is increasing uniformly at the rate of $3cm/\sec .$ The rate of increasing of area when radius is $10cm$ , will be
The motion of stone thrown up vertically is given by $s=13.8t-4.9{{t}^{2}}$ , where s is in metre and t is in seconds. Then its velocity at $t=1$ second is
A particle is moving in a straight line. Its displacement at time t is given by $s=-4{{t}^{2}}+2t$ , then its velocity and acceleration at time $t=\frac{1}{2}$ second are
If the distance travelled by a point in time t is $s=180t-16{{t}^{2}}$ , then the rate of change in velocity is
A man 2metre high walks at a uniform speed 5 metre/hour away from a lamp post 6 metre high. The rate at which the length of his shadow increases is
A ladder 5 m in length is resting against vertical wall. The bottom of the ladder is pulled along the ground away from the wall at the rate of $1.5\,m/\sec $ . The length of the highest point of the ladder when the foot of the ladder $4.0\,m$ away from the wall decreases at the rate of
If by dropping a stone in a quiet lake a wave moves in circle at a speed of 3.5 cm/sec, then the rate of increase of the enclosed circular region when the radius of the circular wave is 10 cm, is $\left( \pi =\frac{22}{7} \right)$
A ladder is resting with the wall at an angle of ${{30}^{o}}$ . A man is ascending the ladder at the rate of 3 ft/sec. His rate of approaching the wall is
If the edge of a cube increases at the rate of 60 cm per second, at what rate the volume is increasing when the edge is 90 cm

View Selected Questions (0)

Back to Categories

Back to Home