AIR MATH

Math Question

14
A car accelerates for \( t \) seconds at a constant rate of \( a \) meters per second squared \( \left(\frac{\mathrm{m}}{\mathrm{s}^{2}}\right) \) until it reaches a velocity of \( v \) meters per second. The distance in meters the car travels is given by \( d=v t-\frac{1}{2} a t^{2} \). Which of the following gives \( a \) in terms of \( v, d \), and \( t \) ?
A) \( a=2\left(v-\frac{d}{t}\right) \)
B) \( a=2\left(v+\frac{d}{t}\right) \)
C) \( a=2\left(\frac{v}{t}-\frac{d}{t^{2}}\right) \)
D) \( a=2\left(\frac{v}{t}+\frac{d}{t^{2}}\right) \)

Solution

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