Given that a rocket of mass 26 metric tons is burning fuel at a constant rate of 80 kg/s, find the mass of the rocket 25 seconds after take-off.
A crane 4 meters high moves towards a pole at 10 m/s. There is a light 5 meters up the pole. What is the rate of change of the length of the crane’s shadow?
A ladder of length 8.5 m rests against a wall. If the bottom of the ladder slides away from the wall at 90 cm/min. Find the rate at which the height of the ladder’s top changes when the bottom is 7.5 meters from the wall.
A rocket, coming to the end of its journey, is consuming its fuel at a rate of 80 kg/s. Given that its mass when empty is 7 metric tons and that its current mass is 9 metric tons. How long will it take for it to consume its remaining fuel?
A man whose height is 155 cm moves away from the base of a lamppost of height 3.8 m at a rate of 1.5 m/s. Given that the straight line that passes through the highest point of the man’s head and the top of the lamppost is inclined to the ground at an angle of when the man is meters away from its base, find the rate of change of when the man is 3 m away from the base of the lamppost.