Two objects A and B are thrown upwards simultaneously with the same speed. The mass of A is greater than the mass of B. Suppose the air exerts a constant and equal force of resistance on the two bodies. Which object will go high?

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Solution

A will get higher.
Because the mass of $A$ is higher and the forces of resistance are said to be equal…

Without resistance forces the maximum height would be equal, but, with resistance have a force pointing downwards and $F = m \times a \dots$ so, for an equal resistance force, if the mass is higher the acceleration is lower, if the mass is lower, the acceleration is higher. The body B with a higher downwards acceleration gets stopped sooner and can’t get as high as body A.

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