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Problem: The height () of the ball thrown into the air with an initial velocity of 9.8 / from a height of 2 above the ground is given by the equation () = −4.9 2 + 9.8 + 2, where is the time in seconds that the ball has been in the air. a. What maximum height did the object reach? b. How long will it take the ball to reach the maximum height? c. After how many seconds is the ball at a height of 4 ?
Guide questions: 1. What kind of function is the equation H(t) = -4.9t 2 + 9.8t + 2? 2. Transform the equation into the standard form. 3. What is the vertex? 4. What is the maximum height reached by the ball? 5. How long will it take the ball to reach the maximum height? 6. If the height of the ball is 4 m, what is the resulting equation? 7. Find the value of t to determine the time it takes the ball to reach 4 m.
Sagot :
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