A ballong leaves the ground 50 ft from an observer. If it rises vertically at the rate of 6 ft/s how fast is it reducing form the point of observation when it is 120 ft above the ground?

A balloon leaves the ground 50 ft from an obsever, If it rises vertically at the rate of 6 ft/s, how fast it receding from the point of obsevation when it is 120 ft above the ground?

A ladder 20 ft long leans against a vertical wall. If the top end slides downward at the rate of 2 ft/s, find the rate at which the lower end moves on a horizontal floor when it is 12 ft from the wll. Find also the rate at which the slope of the ladder changes.

A ladder 5 cm long is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2cm/s. How fast is its height on the wall decreasing when the foot of the ladder is 4 cm away from the wall ?

A ladder 16 cm long is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2 cm/sec. How fast is its height on the wall decreasing when the foot of the ladder is 4 cm away from the wall?

A ladder 20 ft long leans against a vertical wall. The top end slides downwards at the rate of 2 ft per second. The rate at which the lower end moves on a horizontal floor when it is 12 ft from the wall is

A ladder 26 ft long leans against a vertical wall. If the top slides downwards at the rate of 10 in/s. find the rate at which the lower end moves on a horizontal floor when it is 10 ft from the wall. Find also the rate at which the slope of the ladder changes.

A ball is thrown vertically upwards with a velocity of 20 ms^(-1) from the top of a multistorey building. The height of the point from where the ball is thrown is 25.0 m from the ground. (a) How high will the ball rise ? and (b) how long will it be before the ball hits the ground ? Take g = 10 ms^(-2) .

A light is placed on the groung at a distance of 30 ft from a house. A man 6 ft tall walks from the light towards the house at the rate of 5 ft/s find the rate at which his shadow on the wall is shortening when he is 15 ft from the wall.

A kite is 160 ft high and there are 200 ft of string out. If the wind moves the kite horizontally at the rate of 5 mi/h directly away from the man who is flying it, how fast is the string being payed out at the instant? (Assume that the string is in a straight line).

Sand is pouring from a pipe at the rate of 12 cm^(3) /s. The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing when the height is 4 cm?