A concave mirror is opaque whereas a concave lens is transparent. ... Difference between concave mirror and concave lens is A concave mirror is opaque whereas a concave lens is transparent. A concave mirror causes reflection of light whereas a concave lens causes refraction of light.
The answer is either c or b
The rate at which the height is changing is ( 5 / x ) m / hr
We know that,
Area of an equilateral triangle A =
/ 4
h =
x / 2
Where,
x = Side
h = Height
Given that,
dA / dt = 5
/ hr
h =
x / 2
Differentiate both sides with respect to t
dh / dt = (
/ 2 ) ( dx / dt )
dx / dt = ( 2 /
) ( dh / dt )
A =
/ 4
Differentiate both sides with respect to t
dA / dt = (
/ 4 ) ( 2x ) ( dx / dt )
5 = (
/ 4 ) ( 2x ) ( 2 /
) ( dh / dt )
dh / dt = ( 5 / x ) m / hr
Rate of change of height is defined as the rate at which height of an object changes with respect to time. It is represented as dh / dt
Therefore, the rate at which the height is changing is ( 5 / x ) m / hr
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Answer:
8.6 m
Explanation:
The motion of a soccer ball is a motion of a projectile, with a uniform motion along the horizontal (x-) direction and an accelerated motion along the vertical (y-) direction, with constant acceleration
towards the ground (we take upward as positive direction, so acceleration is negative).
The initial velocity along the vertical direction is

Now we can consider the motion along the vertical direction only. the vertical velocity at time t is given by:

At the point of maximum height,
, so we can find the time t at which the ball reaches the maximum height:

And now we can use the equation of motion along the y-axis to find the vertical position of the ball at t=1.33 s, which corresponds to the maximum height of the ball:
