An object is thrown upward from an initial height of h_(0) meters above the ground at a speed of v_(0) meters per second. Its height h above the ground after t seconds is given by h(t)=h_(0)+v_(0)t-5t^(2) (a) Write an equation that shows when an object will hit the ground if thrown upward at 8 (m)/(s) from a height of 4m. Use your equation from part (a) to answer the following questions. (b) When does the object hit the ground? (c) At what time does the object reach its maximum height? What is the maximum height? (d) What is a reasonable domain for the function h(t) ? Explain. 4. An object is thrown upward from an initial height of ho meters above the ground at a speed of v, meters per second. Its height h above the ground after seconds is given by h(t)=h+vt-5t2 a Write an equation that shows when an object will hit the ground if thrown upward at 8 m/s from a height of 4 m. Use your equation from part (a) to answer the following questions. (b) When does the object hit the ground? At what time does the object reach its maximum height? What is the maximum height?! What is a reasonable domain for the function ht?Explain
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Step 1: Write the equation for the height of the object Given the initial height h_(0) = 4 meters and the initial upward velocity v_(0) = 8 m/s, we can write the equation for the height h(t) as: h(t) = 4 + 8t - 5t^2 Show more…
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