YASH CLASSES
MOTION IN
A PLANE [ XI
]
17. At same
point two thrown simultaneously.
A is thrown vertically with velocity 25m/s
and B thrown 29m/s with angle 30° with the
vertical . determine the separation between
the two balls at t = 3 second .
18.Prove
that a gun will shoot times
as high when
its
angle of elevation 60°
as when it is 30° , but
will carry the same point in horizontal .
19. Prove that the range of a
projectile for two angles
α and β is the same where α
+ β = 90° .
20. A
projectile is thrown at an angle
θ with the
horizontal
with kinetic energy
E . calculate the
potential
energy at the point
at the trajectory .
21. What
is the angle of projection of
an oblique
projectile if
its range is √3v2 / 2g ?
22. What
is the maximum height
reached by an
oblique
projectile if its time
of flight is T ?
23. A
stone is thrown horizontal with a speed
√[2gh] from the top
of a wall of height h .
It strike
level ground through the foot of
the
wall
at a distance x from the wall . what
is the
value of x ?
24. The
equation of trajectory of an oblique
projectile is y =
√3x
–gx2/2 what is the
initial
velocity and the angle of
projection
of
the projectile ?