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CaHeK987 [17]
3 years ago
14

An airplane flying at a velocity of 610 m/s lands and comes to a complete stop over a 53 second period of time.

Physics
1 answer:
Airida [17]3 years ago
6 0

Answer:

a = - 11.53[m/s^2]

Explanation:

The airplane slows down as its speed decreases from the initial value of 610 [m/s] to zero.

To calculate the acceleration value we use the following kinematics equation:

v_{f} = v_{i}+(a*t)\\

where:

Vf = final velocity = 0

Vi = initial velocity = 610 [m/s]

a = acceleration [m/s2]

t = time = 53 [s]

Now replacing:

0 = 610 + (a*53)

-610 = 53*a

a = - 11.53[m/s^2]

The negative sign means that the aircraft is losing speed, i.e. slowing down

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Answer:

The plane would need to travel at least 8,\!580\; {\rm ft} (8.58 \times 10^{3}\; {\rm ft}.)

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Explanation:

Convert unit of the the take-off velocity of this plane to \rm ft\cdot s^{-1}:

\begin{aligned}v &= 180\; {\rm mph} \\ &= 180\; {\rm mi \cdot hrs^{-1}} \times \frac{1\; {\rm hrs}}{3600\; {\rm s}} \times \frac{5280\; {\rm ft}}{1\; {\rm mi}} \\ &= 264\; {\rm ft \cdot s^{-1}}\end{aligned}.

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Let x denote the distance that the plane travelled along the runway. Since acceleration is constant but unknown, make use of the SUVAT equation x = ((u + v) / 2) \, t.

Notice that this equation does not require the value of acceleration. Rather, this equation make use of the fact that the distance travelled (under constant acceleration) is equal to duration t times average velocity (u + v) / 2.

The distance that the plane need to cover would be:

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