A particle is projected with a speed v at an angle `theta` with the horizontal. Find the mean power delivered by gravity during the ascent of the particle.

Explanation

To find the mean power delivered by gravity during the ascent of a particle projected with speed \( v \) at an angle \( \theta \) with the horizontal, we can follow these steps:

### Step 1: Understand the Concept of Mean Power
Mean power is defined as the total work done divided by the total time taken. In this case, we need to calculate the work done by gravity during the ascent of the particle.

### Step 2: Determine the Work Done by Gravity
The work done by gravity \( W \) during the ascent can be expressed as:
\[
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