Ihave another : / a basketball is thrown upwards. the height f(t), in feet, of the
a basketball is thrown upwards. the height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:
f(t) = −16t^2 + 16t + 32
which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?
a - 0.5 < t < 1
b - 0.5 < t < 2
c - 1 < t < 2
d - 1 < t < 1.5
The required domain is 0.5 < t < 2.
Step-by-step explanation:
Find the time of maximum height by converting to vertex form:
f(t) = −16t^2 + 16t + 32
f(t) = -16(t^2 - t) + 32
= -16 [(t - 0.5)^2 - 0.25)]+ 32
So the time at maximum height = 0.5 seconds.
To find the time t when it falls to the ground:
-16t^2 + 16t + 32 = 0
-16(t^2 - t - 2) = 0
-16(t - 2)(t + 1) = 0 giving t = 2, -1 ( we ignore the -1).
t = 2 seconds.
Therefore the answer is 0.5 < t < 2.
follow the steps below
Step-by-step explanation:
To shoot a basketball, start by standing with your feet shoulder width apart and your hips and shoulders aligned to the basket. Bend your knees a little for better balance. Then hold the ball in your dominant hand so that your elbow is directly underneath it and use your other hand to stabilize and guide the ball.
hope this helps =)
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