Answer to Question #233268 in Physics for Larkin

Question

1. Jim drops a stone from the top of a five-storey building (a) How far has it fallen after 2 seconds? (b) What is the final velocity of the stone after 2 seconds of fall? (c) if the stone reaches the ground after 3 seconds, how high is the building? It is worth at this point to make a simple sketch.

2. How should the difference in mass, z = x - y, be reported? (Note that the symbol z now denotes the difference instead of the sum of two measurements).

Answer 1

1a: the stone covered

$$h=\frac{gt^2}{2}=19.6\text{ m}.$$

1b: the velocity is

$$v=gt=19.6\text{ m/s}.$$

1c: The building is

$$H=\frac{gT^2}{2}=44.1\text{ m}$$

high.

2. This difference should be reported with appropriate units. However, more context would help to answer this question in detail.