# 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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Can you help me step by step? help_outlineImage Transcriptionclose17 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.) fullscreen
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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. help_outlineImage Transcriptioncloseds - (16r2) dt dt Therefore ds or, dt = 32 32t ds And 16 ft/s... dt fullscreen
Step 2

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

Step 3

Using properties of sim...

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### Calculus 