derive the formula for horizontal range ,maximum height and time of flight for the projectile motion?
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Answer:
11th
Physics
Motion in a Plane
Projectile Motion
Maximum Height, Time of Fli...
Maximum Height, Time of Flight and Horizontal Range of a Projectile
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AVERAGE VELOCITY OF PROJECTILE - DEFINITION
concept
The average velocity of a projectile between the instant it crosses one third the maximum height. It is projected with u making an angle θ with the vertical.
There will be a pair of points for which vertical velocities at the same height are in opposite direction and therefore their average sum =0
It is the horizontal velocity which is uniform and hence v
av
=u
x
=ucosθ
For a general point:
Displacement in Y-direction:
y=usinθ×t−
2
gt
2
Displacement in X-direction:
x=ucosθ×t
Now in order to calculate average velocity:
Average Velocity =
Totaltime
NetDisplacement