Question

To obtain the maximum range the object should be projected at an angle of ............ with the horizontal.

Answer 1

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The maximum range for projectile motion (with no air resistance) is 45 degrees.

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Answer 2

to obtain the maximum range the object should be projected at an angle of 45 degree with horizontal because

R=$\frac{u²sin2Ф}{g}$

sinФ-----0°-------90°(increases)

            90°--------180°(decreases)

sin2Ф---------0°------45°(increases)

                   45°------90°(decreases)

max value of sinФ=1

so sin2Ф=1

2Ф=90°

Ф=45°