17A light shines from the top of a pole 50 ft high. A ball is dropped from the same height from a point 20 ft away from the light. How fast is the shadow of the ball moving along the groundBall at time t-01sec later?2sec later16t2 in t sec.)(Assume the ball falls a distance s50-ftpoleShadowX20x(t)The shadow is moving at a velocity offt/sec(Type an integer or a decimal.)

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Asked Oct 14, 2019
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17
A light shines from the top of a pole 50 ft high. A ball is dropped from the same height from a point 20 ft away from the light. How fast is the shadow of the ball moving along the ground
Ball at time t-0
1
sec later?
2
sec later
16t2 in t sec.)
(Assume the ball falls a distance s
50-ft
pole
Shadow
X
20
x(t)
The shadow is moving at a velocity of
ft/sec
(Type an integer or a decimal.)
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17 A light shines from the top of a pole 50 ft high. A ball is dropped from the same height from a point 20 ft away from the light. How fast is the shadow of the ball moving along the ground Ball at time t-0 1 sec later? 2 sec later 16t2 in t sec.) (Assume the ball falls a distance s 50-ft pole Shadow X 20 x(t) The shadow is moving at a velocity of ft/sec (Type an integer or a decimal.)

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Expert Answer

Step 1

Let, the horizontal distance between shadow and pole is x. And s= 16 t2 represents the vertical distance when the ball falls in time (t) seconds.

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ds - (16r2) dt dt Therefore ds or, dt = 32 32t ds And 16 ft/s... dt

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Step 2

The distance travelled by ball after 0.5 seconds is s (say).

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Therefore, (s) (s(t). s = (16r) s4 f...2)

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Step 3

Using properties of sim...

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50 х х - 20 50-s

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Calculus