Applications of...

If the rate of increase of area of a circle is not constant but the rate of increase of perimeter is constant, then the rate of increase of area varies

A stone thrown vertically upwards rises ‘s’ metre in t seconds, where s = 80t – 16t², then the velocity after 2 second is

The speed v of a particle moving along a straight line is given by a + bv² = x² (where x is its distance from the origin). The acceleration of the particle is

A particle is moving along the curve x = at² + bt + c. If ac = b², then the particle would be moving with uniform

The sides of an equilateral triangle are increasing at the rate of 2 cm/sec. The rate at which the area increases, when the side is 10 cm is

The rate of the change of the surface area of a sphere of radius r when the radius is increasing at the rate of 2cm/sec is proportional to

Moving along the x - axis are two points with x = 10 + 6t; x = 3 + t². The speed with which they are reaching from each other at the time of encounter is (x is in cm and it is in seconds)

The position of a point in time ‘t’ is given by x = a + bt – ct², y = at + bt². Its acceleration at time ‘t’ is

Gas is being pumped into a spherical balloon at the rate of 30 ft³/min. Then the rate at which the radius increases when it reaches the value 15 ft. is