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Basics of Geometry

What is the r...

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What is the relationship between range and maximum height when one angle is theta and other is 90-theta

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Q. A particle is projected with velocity

u

θ_{1}

with horizontal. The ratio of range and maximum height is

4

.
When it is projected at angle

θ_{2}

with horizontal with same speed, the ratio of range and maximum height is

2

\frac{tan θ_{1}}{tan θ_{2}}

will be equal to

Q. Assertion :When a body is projected at an angle

45^{0}

, its maximum height is half of horizontal range. Reason: Horizontal range

= \frac{U^{2} s i n 2 θ}{g}

and maximum height

= \frac{U^{2} s i n^{2} θ}{2 g}

.

Q. What is the relationship between time of flight

T

and horizontal range

R

θ

is angle of projection with the horizontal)

Q. A body is projected with a certain speed at angles of projection of

θ

90^{o} - θ

The maximum height attained in the two cases are

20 m

10 m

respectively. The maximum possible range is

Q. Assertion :Horizontal range is same for angle of projection

θ

(90 - θ)

. Reason: Horizontal range is independent of angle of projection.

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