Question

An airplane traveling 1000 m above the ocean at 140 km/h is going to drop a box of supplies to shipwrecked victims below.

Answer 1

Answer:

Horizontal distance = 555.74 m

Explanation:

Given the following data;

Height = 1000m

Horizontal velocity = 140km/h

First of all, we would convert the unit of the velocity to meters per seconds;

V = (140 * 1000)/60*60

V = 140000/3600 = 38.89m/s

To find the time, we would use the second equation of motion;

$S = ut + \frac {1}{2}at^{2}$

We know that acceleration due to gravity, g is equal to 9.8m/s²

Initial velocity, u = 0

Substituting into the equation, we have;

$1000 = 0(t) + \frac {1}{2}*9.8*t^{2}$

$1000 = 0 + 4.9*t^{2}$

$1000 = 4.9*t^{2}$

$t^{2} = \frac {1000}{4.9}$

$t = \sqrt{204.08}$

Time, t = 14.29 secs

To find the horizontal distance;

Speed = distance/time

$Horizontal \; distance = horizontal \; velocity * time$

$Horizontal \; distance = 38.89 * 14.29$

Horizontal distance = 555.74 m