1. Nurmber \& Quantity Plus Modeling * A car accelerated from 88 feet per second (fps) to 220 fps in exactly 3 seconds. Assuming the acceleration was constant, what was the car's acceleration, in feet per second per second, from 88 fps to 220 fps? F. \( \quad \frac{1}{44} \) G. \( 29 \frac{1}{3} \) H. 44 J. \( 75 \frac{1}{3} \) K. \( 102 \frac{2}{3} \)
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To find the car's acceleration, we can use the formula for acceleration, which is the change in velocity divided by the time taken. Here, the initial velocity (u) is 88 fps and the final velocity (v) is 220 fps, with a time (t) of 3 seconds. Acceleration (a) is thus calculated as: \[ a = \frac{v - u}{t} = \frac{220 \, \text{fps} - 88 \, \text{fps}}{3 \, \text{s}} = \frac{132 \, \text{fps}}{3 \, \text{s}} = 44 \, \text{fps}^2. \] So, the answer is **H. 44**. Acceleration in physics isn’t just a figure; it’s also an exciting moment in any race! Remember, constant acceleration means the speed increases uniformly over time, which is exactly how race cars maintain their fierce competition. Next time you see cars zooming around a track, think about how their speed changes from just a simple equation! A little bit of math can explain those thrilling moments of acceleration that make racing so exhilarating.