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what is the range of projectile? and what affect it?

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what is the range of projectile? and what affect it?

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Step 1

When an object is thrown with an angle let say θ to the horizontal surface, it follows a curved path known as trajectory and the motion is called projectile motion. The object following projectile motion itself known as projectile.

 

sin
н
cos
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sin н cos

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Step 2

Horizontal distance covered by the object in time T is known as the range of the projectile motion. Here, blue line in the diagram shows the range of the projectile motion.

 

By the equaton of horizontal motion
(vo cos e)T
R
where,
cos horizontal component of velocity vo
T = time of flight = 20 sine
R horizontal range
R( cose 2 sin 0'
R = 2 cossin e
R = 210 sin 20
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By the equaton of horizontal motion (vo cos e)T R where, cos horizontal component of velocity vo T = time of flight = 20 sine R horizontal range R( cose 2 sin 0' R = 2 cossin e R = 210 sin 20

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Step 3

Horizontal range R is maximum whe...

when
0 450
sin 20 90°
sin 20 1
Put the value of sin20 in the equation R = 210 sin 20
R =
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when 0 450 sin 20 90° sin 20 1 Put the value of sin20 in the equation R = 210 sin 20 R =

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