Applications of...

Two automobiles start from a point A at the same time. One travels towards west at the speed of 60 miles per hour while the other travels towards North at 35 mph. Their distance apart after 3 hours later is increasing at the rate (in mph)

A particle is moving in a straight line. Its displacement at time t is given by s = – 4t² + 2t, then its velocity and acceleration at time t = 1/2 second are

If the distance travelled by a point in time t is s = 180t – 16 t², then the rate of change in velocity is

Water is flowing into a vertical cylindrical tank of radius 2ft. at the rate of 8 cubic ft. per minute. The water level is rising at the speed of (ft.per minute)

A rectangle of perimeter 24 inches is rotated about one of its sides so as to form a cylinder. To attain the maximum volume of the cylinder what would be the dimensions of the rectangle (in inches)

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 distance ‘s’ travelled by a particle in time t is s = a sin t + b cos 2t, then the acceleration at t = 0 is

A particle moves so that S = 6 + 48t – t³. The direction of motion reverses after moving a distance of

If the volume of a spherical balloon is increasing at the rate 900 cm³/sec, then the rate of charge of radius of balloon instant when radius is 15 cm [in cm/sec]

If the path of a moving point is the curve x = at, y = b sin at, then its acceleration at any instant