Capacitance increases with __________
a) Increase in distance between the plates
b) Decrease in plate area
c) Decrease in distance between the plates
d) Increase in density of the material

Explanation

a. Take the origin at the point where theball is kicked, vertically upward as the Y-axis and the horizontl iln the plane of motion as the X-axis. The initial velocity has the components
`u_x=(20 m/s)cos45^0=10 sqrt2m/s`
and `u_y=(20 m/s)sin45^0=10 sqrt2 m/s`
When the ball reaches the ground, y=0.
Using `y=u_yt-1/2 gt^2,
`0=(10sqrt2m/s)t-1/2xx(10 m/s^2)xxt^2`
or, `t=2sqrt 2s=2.8 s.`
Thus, it takes 2.8s for the football to fall on the ground.
a. At the highest point `v_y ^2=u_y^2-2gy,`
`=0(10sqrt2m/s)^2-2xx(10 m/s^2)H`
`or H=10 m`
Thus, the maximum height reached is 10 m.
c. The horizontal distance travelled before falling to the ground is `x=u_xt`
`=(10 sqrt2 m/s)(2sqrt2s)=40m`