Final answer:
It takes 4.0 seconds for a bird to accelerate from 3.0 m/s to 11.0 m/s at an acceleration rate of 2.0 m/s² by using the kinematic equation t = (v - u) / a.
Step-by-step explanation:
To determine how long it takes for a bird to accelerate from 3.0 m/s to 11.0 m/s at an acceleration rate of 2.0 m/s², we can use the basic kinematics equation for constant acceleration, which states:
v = u + at
Where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. By reorganizing the formula to solve for time (t), we get:
t = (v - u) / a
Given the values v = 11.0 m/s, u = 3.0 m/s, and a = 2.0 m/s², we can calculate the time as:
t = (11.0 m/s - 3.0 m/s) / 2.0 m/s²
This equals 4.0 seconds.