Question

A package is dropped from a helicopter traveling at 21 m/s (horizontally) at an altitude of 140 m but the parachute attached to the package fails to open.How long does it take for the package to hit ground?

Answer 1

To find the time it takes for a package to hit the ground when dropped from an altitude of 140 meters, we apply the formula for free fall in Physics. The result is approximately 5.35 seconds.

Step-by-step explanation:

The question relates to the concepts of kinematics and projectile motion in Physics. To calculate the time it takes for the package to reach the ground, we use the formula for the motion of an object under the influence of gravity (free fall): t = √(2h/g), where t is the time, h is the altitude (140 m), and g is the acceleration due to gravity (approximately 9.8 m/s²).

To find the time it takes for the package to hit the ground, we substitute the known values into the equation:

• 
  
• h = 140 m
• 
  
• g = 9.8 m/s²

Therefore, the time t is calculated as follows:

t = √(2 * 140 m / 9.8 m/s²) = √(280 / 9.8) = √(28.571) ≈ 5.35 s.

So, it will take approximately 5.35 seconds for the package to hit the ground.