The upward velocity, v, of the water in a fountain is 28 more than the product of -32 and t, where t is the number of seconds after the water leaves the fountain. As the water moves upward, its velocity decreases until it reaches the top where the velocity is zero
A. Write an equation to represent this.
B. How long does it take for the water to reach maximum
height? (v = 0)
Please help!
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A. To write an equation to represent this situation, let's break it down step by step:
Step 1: We are given that the upward velocity, v, of the water in the fountain is 28 more than the product of -32 and t. We can represent this as:
v = -32t + 28
Step 2: We also know that when the water reaches the top, its velocity is zero. At the top, v = 0.
Therefore, our equation becomes:
0 = -32t + 28
B. Now, let's solve for t to find how long it takes for the water to reach maximum height:
0 = -32t + 28
To isolate t, we can subtract 28 from both sides of the equation:
-28 = -32t
Next, divide both sides of the equation by -32 to solve for t:
-28 / -32 = t
Simplifying this expression, we get:
7/8 = t
Therefore, it takes 7/8 seconds for the water to reach maximum height.