Final answer:
To find the acceleration of a moving body, the equations of motion are utilized with given initial and final velocities, distance, and time. These calculations can solve for the stopping acceleration of a sportscar, eagle's acceleration during flight, and average velocity of a car accelerating uniformly.
Step-by-step explanation:
Understanding Acceleration in Various Situations
The acceleration of an object can be calculated using the initial and final velocities (v0 and v, respectively), the distance over which the acceleration occurs (s), and the time interval (t) during which the acceleration occurs. The formulae derived from the equations of motion are useful for this:
Stopping Acceleration of a Sportscar: s = v0t + ½at2 and v2 = v02 + 2as. Given s (45 m), v (0 m/s, since the car stops), and v0 (40 m/s), we can solve for acceleration (a).
Eagle's Acceleration: Using the formula v2 = v02 + 2as, with the given v (20 m/s), v0 (15 m/s), and s (50 m), we calculate the eagle's acceleration.
Average Velocity During Acceleration: The average velocity (vavg) is found using the formula vavg = (v + v0) / 2. With the time (t) and constant acceleration, we can first find the final velocity (v) using v = v0 + at (with v0 assumed to be 0 m/s as the car starts from rest), and then calculate vavg.
By applying these calculations, the acceleration of the sportscar, the eagle, and the average velocity of the car can be determined accurately.