Question

An airplane is delivering food to a small island. It flies 100 m above the ground at a speed of 150 m/s .

Where should the parcel be released so it lands on the island? Neglect air resistance.
Express your answer to two significant figures and include the appropriate units.

Answer 1

Answer:

The airplane should release the parcel $6.7*10^2$ m before reaching the island

Explanation:

The height of the plane is $y_0=100m$, and its speed is v=150 m/s

When an object moves horizontally in free air (no friction), the equation for the y measured with respect to ground is

$y=y_0 - \frac{gt^2}{2}$    [1]

And the distance X is

x = V.t     [2]

Being t the time elapsed since the release of the parcel

If we isolate t from the equation [1] and replace it in equation [2] we get

$X = V . \sqrt{\frac{2y_0}{g}}$

Using the given values:

$x = 150 m/s  \sqrt{\frac{2\times 100m}{9.8 m/sec^2}}$

x = $6.7*10^2$ m

Answer 2

We have that for the Question "An airplane is delivering food to a small island. It flies 100 m above the ground at a speed of 150 m/s ." it can be said that the distance of release is given as

d=623.7m

From the question we are told

An airplane is delivering food to a small island. It flies 100 m above the ground at a speed of 150 m/s .  

Where should the parcel be released so it lands on the island? Neglect air resistance.

Generally the equation for the   is mathematically given as

$S=ut+\frac{1}{2}at^2\\\\Where\\\\100=0-\frac{1}{2}*9.8t^2\\\\t=4.518sec$

Therefore

The distance of release is given as

d=150*4.158

d=623.7m

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