A grass hopper can jump maximum distance `1.6m.` It spends negligible time on ground. How far can it go in `10(sqrt2)`s?

Explanation

To solve the problem of how far a grasshopper can jump in \(10\sqrt{2}\) seconds, we can follow these steps:

### Step 1: Understand the maximum jump distance
The maximum distance a grasshopper can jump is given as \(1.6 \, \text{m}\). This distance is achieved when the grasshopper jumps at an angle of \(45^\circ\).

### Step 2: Relate maximum jump distance to initial velocity
The formula for the maximum range \(R\) of a projectile is given by:
\[
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