First slide

Projection Under uniform Acceleration

Question

A projectile is projected at an angle of 45° to the horizontal. The slope of trajectory of the body varies with time t as

Moderate

A
B
C
D

Solution

equation of the trajectory of the projectile is
$y = x \tan θ - \frac{1}{2} g \frac{x^{2}}{u^{2} \cos^{2} θ} \frac{d y}{d x} = \tan θ - \frac{g x}{u^{2} \cos^{2} θ} s o i n i t i a l s l o p e i s \tan θ a s x i n c r e a s e s s l o p e d e c r e a s e s a n d b e c o m e s z e r o a n d f i n a l l y b e c o m e s n e g a t i v e$

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