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A penny is dropped from the top of the Chrysler Building (320 m high). How fast is it traveling when it hits the ground? g = -9.80 m/s².

a. 88 m/s
b. 112 m/s
c. 160 m/s
d. 200 m/s

Respuesta :

Despina

Answer:

  • 79.2 m/s

Explanation:

To Calculate the How fast is it traveling when it hits the ground we can use the kinematics third equation which is given by :

  • v² - u² = 2as

where:

  • v is final Velocity
  • u is initial velocity, in this case the initial velocity will be zero as the penny is dropped from the top of the Chrysler Building.
  • a is acceleration due to gravity [g = - 9.8 m/s²]
  • s is height of the Building [320 m]

We need to calculate How fast is it traveling when it hits the ground, i.e final velocity (v) = ?

Plug in the values :

[tex]{v^2} - 0^2 = 2(-9.8) (320) \\ \\ v^2 = 2 (-3136) \\ \\ {v}^{2} = 6272 \\ \\ v= \sqrt{ 6272} \\ \\ { \pmb{v = 79.2 \: m/s }}\\ [/tex]

Hence, the penny is travelling with the velocity of 79.2 m/s when it hits the ground.

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