A stone is thrown vertically upwards from the top of a building, with a speed of 14.7m/s. if it returns to the earth in 8s, calculate the height of the building.

Explanation

To solve the problem of a stone thrown vertically upwards from the top of a building, we can use the equations of motion under constant acceleration due to gravity. Here's a step-by-step solution:

### Step 1: Identify the Given Data
- Initial velocity (u) = 14.7 m/s (upwards)
- Time of flight (t) = 8 s
- Acceleration due to gravity (g) = 9.8 m/s² (downwards)

### Step 2: Set Up the Equation of Motion
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