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\begin{tabular}{l} Anthony is driving to work at a rate of \( 22 \mathrm{~m} / \mathrm{s} \). He glances at the clock in his car and realizes that he is going \\ o be late. Anthony accelerates at a rate of \( 2.8 \mathrm{~m} / \mathrm{s}^{2} \). What will his velocity be after 6 seconds? \\ Equation: \\ \hline\end{tabular}

Ask by Alexander Peterson. in the United States
Feb 03,2025

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After 6 seconds, Anthony's velocity will be 38.8 m/s.

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To find Anthony's velocity after 6 seconds, we can use the equation of motion for uniformly accelerated motion: \[ v = u + at \] where: - \( v \) is the final velocity, - \( u \) is the initial velocity (22 m/s), - \( a \) is the acceleration (2.8 m/s²), - \( t \) is the time (6 seconds). Plugging in the values: \[ v = 22 \, \text{m/s} + (2.8 \, \text{m/s}^2 \times 6 \, \text{s}) \] Calculating the acceleration contribution: \[ 2.8 \, \text{m/s}^2 \times 6 \, \text{s} = 16.8 \, \text{m/s} \] Now add this to the initial velocity: \[ v = 22 \, \text{m/s} + 16.8 \, \text{m/s} = 38.8 \, \text{m/s} \] So, Anthony's velocity after 6 seconds will be **38.8 m/s**.

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Physics to Go 1. Calculate the energy used, in joules, by each of the following: a) a \( 1500-\mathrm{W} \) hair dryer operating for 3 min b) a \( 1200-\mathrm{W} \) hair dryer operating for 4 min 2. If both situations described in Question 1 result in the same dryness of hair, which hair dryer is more efficient? 3. A 1200 -W hair dryer is used by several members of a family for a total of 30 min per day during a 30 -day month. How much electrical energy is consumed by the hair dryer during the month? Give your answer in: a) watt-hours b) kilowatt-hours 4. If the power company charges \( \$ 0.15 \) per \( \mathrm{kW} \cdot \mathrm{h} \) for electrical energy, what is the cost of using the hair dryer in Question 3 during the month? What is the cost for a year? 5. Not enough heat from the furnace reaches one bedroom in a home. The homeowner uses a portable 1350 -W electric heater 24 h per day to keep the bedroom warm during four cold winter months. At \( \$ 0.12 \) per kilowatt-hour, how much does it cost to operate the heater for the four months? (Assume two 30-day and two 31-day months.) 6. A portable CD player is rated at approximately 20 W and uses 4 AA batteries. a) Estimate the number of hours that you can listen to the music on a CD player before the batteries need replacing. b) Calculate the energy requirements of the CD player. c) Estimate the cost of 4 AA batteries. d) Calculate the cost per kilowatt-hour of a battery. e) Compare battery costs with the cost of electricity from the utilities (use approximately \( \$ 0.10 \) per kilowatt-hour).
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