contestada

How long does it take a salamander, starting from rest to run 34 m while accelerating
at 2.2 m/s²?

Respuesta :

The time taken for the salamander to run 34 m while accelerating at 2.2 m/s² from rest is 5.56 s

What is acceleration?

This is defined as the rate of change of velocity which time. It is expressed as

a = (v – u) / t

Where

  • a is the acceleration
  • v is the final velocity
  • u is the initial velocity
  • t is the time

How to determine the final velocity

We'll begin by calculating the final velocity of the salamander. This is illustrated below:

  • Initial velocity (u) = 0 m/s
  • Acceleration (a) = 2.2 m/s²
  • Distance (s) = 34 m
  • Final velocity (v) = ?

v² = u² + 2as

v² = 0² + (2 × 2.2 × 34)

v² = 0 + 149.6

v² = 149.6

Take the square root of both sides

v = √149.6

v = 12.23 m/s

How to determine the time

Finally, we shall determine the time. Details below:

  • Initial velocity (u) = 0 m/s
  • Final velocity (v) = 12.23 m/s
  • Acceleration (a) = 2.2 m/s²
  • Time (t) =?

a = (v – u) / t

t = (v – u) / a

t = (12.23 – 0) / 2.2

t = 12.23 / 2.2

t = 5.56 s

Learn more about acceleration:

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