A balloon with mass 'm' is descending down with an acceleration 'a' (where a < g). How much mass should be removed from it so that it starts moving up with an acceleration 'a'?

A bus moving at a speed of 24 m/s begins to slow at a rate of 3 m/s each second. How far does it go before stopping?

A 60 kg man stands in contact against the inner wall of a hollow cylindrical drum of radius 4m rotating about its vertical axis with 180 rev./min. The coefficient of friction between the wall and his clothing is 0.20. Find the minimum rotational speed of the cylinder to enable the man to remain stuck to the wall (without falling) when the floor is suddenly removed? Assume g = 10 $$\text{m/s}^2$$​

Which of the following is the correct expression for maximum possible speed of a caron a banked road?