contestada

A squirrel drops an acorn from a tree branch that is 8.0 m from the ground. How long is the acorn in the air?What is the acorn's velocity when it reaches the ground?

Respuesta :

Answer:

time = 1.277 second

velocity = 12.52 m/s

Explanation:

Given data

height = 8 m

top find out

How long is the acorn and  acorn's velocity

solution

we know that initial velocity is zero

and acceleration due to gravity is roughly 9.81 m/s2

so equation for time t  will be

time = √(2h/g)

time = √(2(8)/9.81)

time = 1.277 second

and

velocity will be

velocity = √(2gh)

velocity = √(2(9.81)8)

velocity = 12.52 m/s

asuwafohjames

The velocity of the acorn when it reaches the ground is 12.52 m/s.

To calculate the acorn's velocity when it reaches the ground, we use the formula below.

Formula:

  • v² = u²+2gs................ Equation 1

Where:

  • v = velocity when it reached the ground
  • u = initial velocity of the acorn
  • g = acceleration due to gravity
  • s = distance of the branch from the ground.

From the question,

Given:

  • u = 0 m/s
  • g = 9.8 m/s
  • s = 8 m

Substitute these values into equation 1

  • v² = 0²=(2×9.8×8)
  • v² = 156.8
  • v = √(156.8)
  • v = 12.52 m/s

Hence, The velocity of the acorn when it reaches the ground is 12.52 m/s.
Learn more about velocity here: https://brainly.com/question/6504879

Otras preguntas