13. A 6 ft tall man throws a shot put with an initial velocity of 55 ft/sec. t seconds can be modeled by s(t) = 6+55t- 16t2. a. Find the shot's velocity at time t. b. Find the shot's speed at time t. c. Find the shot's acceleration at time t.

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13.
acopy of this exam, do the work on your own paper, and subBHit to he uopDOX. DU
ly, answers only will rarely be given credit (I understand that some problems only
13. A 6 ft tall man throws a shot put with an initial velocity of 55 ft/sec. The height of the shot after
t seconds can be modeled by s(t) = 6+55t- 16t2.
a. Find the shot's velocity at time t.
b. Find the shot's speed at time t.
c. Find the shot's acceleration at time t.
d. How long will it take the shot to hit the ground? Round the answer to the nearest tenth of
a second.
e. What is the velocity of the ball when it hits the ground?
14. Consider the curve defined by x²y2 -3x2-6y2 = 0.
dy
a. Use implicit differentiation to find :
dx
Transcribed Image Text:acopy of this exam, do the work on your own paper, and subBHit to he uopDOX. DU ly, answers only will rarely be given credit (I understand that some problems only 13. A 6 ft tall man throws a shot put with an initial velocity of 55 ft/sec. The height of the shot after t seconds can be modeled by s(t) = 6+55t- 16t2. a. Find the shot's velocity at time t. b. Find the shot's speed at time t. c. Find the shot's acceleration at time t. d. How long will it take the shot to hit the ground? Round the answer to the nearest tenth of a second. e. What is the velocity of the ball when it hits the ground? 14. Consider the curve defined by x²y2 -3x2-6y2 = 0. dy a. Use implicit differentiation to find : dx
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Note: Y-axis is taken along the vertical direction. 

a.

The shot’s velocity v at t time is given with the help of following equation.

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