Answer :
The maximum height reached while running is calculated to be 0.75m.
The formula for the maximum height of the projectile motion is given by
H = u² (sin θ)²/2g
where, θ is the angle made with the horizontal
H is the maximum height reached
g is the acceleration due to gravity
u is the initial velocity
Given that, u = 6 m/s
g = 10 m/s²
θ = 40°
Substituting the above values, we have,
H = u² (sin θ)²/2g = 6² * (sin 40°)² / 2 * 10 = 36* 0.414/20 = 0.75 m
Thus, the maximum height reached while running is 0.75m.
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