A projectile is launched over a horizontal surface in such a manner that its maximum height is 1/4 of its horizontal range. Determine the launch angle.

The launch angle .

Explanation:

We know,

Horizontal distance travelled in projectile motion , .

Also, Maximum height ,.

Now, according to question maximum height is 1/4 of its horizontal range.

Simplifying above expression.

We get ,

Hence, this is the required solution.

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it is given that trillions of microbes make up to 1% to 3% of the body mass.

let's take average of this percentage: 2%

consider the average mass of the human body as 70 kg.

then, trillions of microbes would have mass  

therefore, 100 trillion micro-organisms would weigh:

this is an approximate value and could change depending on the mass of the human body and percentage of the microbes present in it.

average mass per microorganism =