An airplane needs to reach a forward velocity of $203.0 \mathrm {~km} / \mathrm { h }$ to take off. On a $2000 - \mathrm { m }$ runway, what is the minimum uniform acceleration necessary for the plane to take flight if it starts from rest? A)0.79 m/s² B)0.87 m/s² C)0.95 m/s² D)1.0 m/s²

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Quizplus · Accepted Answer

To find the minimum uniform acceleration, use the equation $v^2 = u^2 + 2as$, where $v = 203 \, \text{km/h} = 56.39 \, \text{m/s}$, $u = 0$, and $s = 2000 \, \text{m}$. Solving for $a$, we get $a = \frac{v^2}{2s} = \frac{(56.39)^2}{2 \times 2000} \approx 0.79 \, \text{m/s}^2$.

An Airplane Needs to Reach a Forward Velocity Of 203.0 km/h203.0 \mathrm {~km} / \mathrm { h }203.0 km/h

An Airplane Needs to Reach a Forward Velocity Of $203.0 \mathrm {~km} / \mathrm { h }$