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
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