When striking, the pike, a predatory fish, can accelerate from rest to a speed of 3.6 m/s in 0.11 s .
Distance?
Well, I hope this pike isn't late for dinner because it's in quite a hurry! To find the distance it covers, we can use a handy formula: distance = initial velocity * time + (1/2) * acceleration * time^2. Since the pike starts from rest, its initial velocity is 0. The acceleration can be found using the equation acceleration = final velocity - initial velocity / time. Plugging in the values, we have acceleration = 3.6 m/s - 0 m/s / 0.11 s which gives us an acceleration of 32.73 m/s^2 (approximately).
Now, plugging all the values into our distance formula, we get distance = 0 * 0.11 + (1/2) * 32.73 * (0.11)^2. Crunching the numbers, we find that the pike travels approximately 0.2 meters.
So, the pike strikes with lightning speed, covering a distance of about 0.2 meters in its speedy attack.
To find the distance covered by the pike when accelerating from rest to a speed of 3.6 m/s in 0.11 s, we can use the following equation:
Distance = (1/2) × acceleration × time^2
First, let's calculate the acceleration:
Acceleration = (final velocity - initial velocity) / time
Acceleration = (3.6 m/s - 0 m/s) / 0.11 s
Acceleration ≈ 32.73 m/s^2
Now, we can calculate the distance:
Distance = (1/2) × acceleration × time^2
Distance = (1/2) × 32.73 m/s^2 × (0.11 s)^2
Distance ≈ 0.20 meters
Therefore, the pike covers a distance of approximately 0.20 meters when accelerating from rest to a speed of 3.6 m/s in 0.11 seconds.
To find the distance traveled by the pike, we can use the equation of motion:
\[ d = \frac{1}{2} \cdot a \cdot t^2 \]
where:
- \( d \) is the distance traveled,
- \( a \) is the acceleration,
- \( t \) is the time taken.
In this case, we are given the acceleration and the time taken. The acceleration of the pike is \( 3.6 \, \text{m/s} \), and the time taken is \( 0.11 \, \text{s} \). Substituting these values into the equation, we get:
\[ d = \frac{1}{2} \cdot 3.6 \, \text{m/s}^2 \cdot (0.11 \, \text{s})^2 \]
Calculating this expression will give us the distance traveled by the pike.
Ah, so there is a question :)
a = 3.6/.11 m/s^2
d = (1/2) a t^2
or to make it really easy
average speed = 3.6/2 = 1.8 m/s
distance = 1.8 m/s * .11 s