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

$Equation of a projectile y = xtanθ - \frac{1}{2} (\frac{{gx}^{2}}{u^{2} \cos^{2} θ}) \frac{dy}{dt} = \frac{dx}{dt} tanθ - (\frac{gx}{u^{2} \cos^{2} θ}) \frac{dx}{dt} \frac{dx}{dt} is constant which is = ucosθ . So as x inreases with time \frac{dy}{dt} decreases .$

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