Question

a duckling is blown over the edge of a dock and falls into the pain below. If the Ducks initial downward velocity is zero and the final velocity is 6.23 m/s, how long was the duckling in the air?

Answer 1

To determine the time the duckling was in the air, use the equation of motion v = at to solve for t with v = 6.23 m/s and a = 9.81 m/s², which gives approximately 0.635 seconds.

Step-by-step explanation:

The subject of the question refers to the time a duckling spends in the air after being blown off a dock, based on its final velocity and assuming it started with zero downward velocity.

To solve this, we can use the equations of motion under constant acceleration due to gravity. Since the initial velocity is zero, we can use the equation v = at, where v is the final velocity, a is the acceleration due to gravity (9.81 m/s²), and t is the time in seconds.

Rearranging the equation for time, we get t = v/a.

Given the final velocity is 6.23 m/s and the acceleration due to gravity is 9.81 m/s², we can calculate the time spent in the air by the duckling as:

t = v/a = 6.23 m/s / 9.81 m/s²

Thus, the duckling was in the air for approximately 0.635 seconds.