vii) Derive the formula for the range and
maximum height achieved by a projectile
thrown from the origin with initial
velocity u at an angel to the horizontal.
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Answer:
Initial velocity = u
Angle of throw the horizontal= ∅
therefore vertical components of velocity=uSin∅
therefore At the max height, its velocity becomes one
therefore v²-u²=2gh
now, here final velocity is one , and it is going one opposite direction.
or
we can say gravity works opposite to the motion.
so,
∅²=(uSin∅)² = 2 x (-g) x h
h= u²Sin²∅
2g
solution = u²Sin²∅
2g
Explanation:
diagram in attachment ok
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