Question

Que. No 50
English
A boy is standing on a cart moving along
x-axis with the speel of 10 m/s. When
the cart reaches the origin he throws a
stone in the horizontal x-y plane with
the speed of 5 m/s with respect to
himself at an angle q with the x-axis. It
is found that the stone hits a ball lying
at rest at a point whose co-ordinates are
(5m, 1m). The value of q is

(gravitational effect is to be ignored)
O 30°​

Answer 1

Answer:

ANSWER

V

x

=10+5

V

y

=5sinθ

Ball=(

3

,1)

3

=(10+5sinθ)t

1=5sinθt

=

1

3

=

5sinθ

10+5sinθ

5

3

sinθ=10+5cosθ

75sin

2

θ=100+25cos

2

θ

75(1−cos

2

θ)=100+25cos

2

θ

100cos

2

θ+100cosθ+25=0

Solve for θ