# A body is projected so that is has maxmum range R . what is the maxmum height reached during the flight?

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So to get the maximum range the angle must be equal to 45°

using the formula for taking out height reached by a projectile

we know

so

Putting H

We have

Putting A = 45°

we get

using the formula for taking out height reached by a projectile

we know

so

Putting H

We have

Putting A = 45°

we get

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Time to reach the maximum height H = T = u Sin θ / g

Range = R = (u Cos θ) * (2 * u sin θ)/g = u² Sin 2θ / g

Range is maximum when 2θ = 90⁰ and Sin 2θ = 1

R_max = R = u² / g

*Maximum Height reached = H = u² Sin² θ / 2 g = u² / 4 g = R / 4*

===================================

Formula for relation between maximum height and range is :

H / R = tan θ / 4

So H = R / 4 as tan 45⁰ = 1

Range = R = (u Cos θ) * (2 * u sin θ)/g = u² Sin 2θ / g

Range is maximum when 2θ = 90⁰ and Sin 2θ = 1

R_max = R = u² / g

===================================

Formula for relation between maximum height and range is :

H / R = tan θ / 4

So H = R / 4 as tan 45⁰ = 1