The speed of the ball is
ds/dt = 32t
At t =1/2 s
ds/dt = 16 ft/s
The distance from the ground
50 - 16(1/2)^2 = 46 ft
The triangles formed are similar
50/46 = (30 + x)/x
x = 345 ft
50 / (50 - s) = (30 + x)/x
Taking the derivative and substituing
ds/dt = 16
and
Solve for dx/dt
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Answer:
C) 150
Step-by-step explanation:
We conclude that the coordinates that describe the location of point P' are (4, -2).
<h3>
What ordered pair describes the location of P'?</h3>
For a random point with coordinates (x, y), a reflection over the x-axis only changes the sign of the y-component. So the coordinates after the reflection are (x, -y).
In this case, the coordinates of point P are (4, 2), so if we apply a reflection over the x-axis to get the point P', the coordinates are:
(4, -2)
Where we just changed the sign of the y-component.
We conclude that the coordinates that describe the location of point P' are (4, -2).
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C the instant at which the airplane takes off
