the shark can accelerate to speed of 32km/h in a few seconds. Assume that is takes a shark 1.5s to accelerate uniformly from 2.8km/h to 32.0kg/h. What is the magnitude of the sharks acceleration
To find the magnitude of the shark's acceleration, we can use the formula:
acceleration = (final velocity - initial velocity) / time
Here, the final velocity is 32 km/h, the initial velocity is 2.8 km/h, and the time taken to accelerate is 1.5 seconds.
Converting the velocities to m/s:
Final velocity = 32 km/h = 32 * (1000 m / 3600 s) = 8.89 m/s
Initial velocity = 2.8 km/h = 2.8 * (1000 m / 3600 s) = 0.78 m/s
Now we can substitute the values into the formula:
acceleration = (8.89 m/s - 0.78 m/s) / 1.5 s
Simplifying:
acceleration = 8.11 m/s / 1.5 s
acceleration ≈ 5.41 m/s²
Therefore, the magnitude of the shark's acceleration is approximately 5.41 m/s².