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1. The velocity "v" in feet per second of a freely falling object that has fallen h feet can be represented by v = 8h^1/2. Find the distance that an object has fallen if its velocity is 96 feet per second.

2. The relationship of the current, the power, and the resistance in an appliance can be modeled by IR^1/2 = √P, where I is the current in amperes, P is the power in watts, and R is the resistance in ohms. Find the power that an appliance is using if the current is 2.5 amps and the resistance is 16 ohms.

In your answer, please explain and show your work to the best of your ability. I want to know how you got your answer. It will help me a lot! :)

Note: These questions are from 7-3 Practice: Rational Exponents from Glencoe Algebra 1.

Good luck! :)

Respuesta :

taskmasters
We isolate the variables that we wish the values determined in the given problems above.

(1) To solve for h, we manipulate the variable such that it becomes,
                                h = √(v / 8)
Substituting the given,
                                h = √ (96 / 8) = √12 ft

(2) To solve for P in this problem, we raise both sides of the equation to exponent 2,
                                P = I²R
Substituting,
                                P = (2.5 amps)² x (16 ohms)
                                P = 100 watts

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