After a big snowfall, you take your favorite rocket‑powered sled out to a wide field. The field is 205 m across, and you know that your sled accelerates at a rate of 3.95 m/s2 when the rocket is on. How fast will the sled be moving when it reaches the other end of the field?

Respuesta :

The sled be moving as fast as 40.24 m/s when it reaches the other end of the field.

What is Acceleration ?

Acceleration is the rate at which velocity is changing. It is a vector quantity.

Given that you  accelerates at a rate of 3.95 m/s2 when the rocket is on across a field of 205 m. To know how fast the sled will move when it reaches the other end of the field, we will use third equation of motion. That is, v² = u² + 2as

Where

  • v = ?
  • u = 0 ( assuming it is starting from rest )
  • a = 3.95 m/s²
  • s = 205 m

Substitute all the parameters into the formula

v² = 0 ² + 2 × 3.95 × 205

v² = 1619.5

v = √1619.5

v = 40.24 m/s

Therefore, the sled be moving as fast as 40.24 m/s when it reaches the other end of the field.

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