a) Deduce an expression for (a) time of flight (b) Horizontal Range (c) Maximum
height reached by projectile in terms of initial velocity and velocity of projection.
b) A projectile is projected from horizontal with velocity v making an angle 45°
with the horizontal direction. Find the distance of the highest point of projectile
from its starting point.
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Answer:
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 Ye direction:
y=usinθ×t−
2
gt
2
Displacement in X-direction:
x=ucosθ×t
Now in order to calculate average velocity:
Average Velocity =
Total time
net displacement
Explanation:
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