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You are mountain climbing with a friend. You need to reach aledge that is 22 feet above you. You toss a grappling hook with avelocity of 32 feet per second. The equation that models the pathof your hook is given by the function below:
h(t)=−16t2+32t+5
a. Write the equation in vertex form. Describe the graph byidentifying the vertex, axis of symmetry, and the direction of theopening.
b. What is the maximum height you have thrown the hook?
c. What is the result of this toss?
You decide to try again and increase the velocity of your toss to34 feet per second.
d. What is the maximum height of this toss?
e. What is the result of this toss?
f. What are the x and y intercepts? Do they have meaning in thecontext of this problem? Explain.
g. What is the domain in this problem? What does it represent inthe problem?
