Answer:
<em>The skydiver needs 0.71 seconds to reach 7 m/s</em>
Explanation:
<u>Free Fall Motion </u>
When an object is dropped in free air (no friction) from a certain height h, it follows a free-fall motion, whose acceleration is due exclusively to gravity. The speed at a moment t when the object is dropped (from rest) is:
We need to find How long does the skydiver needs to reach 7 m/s. We solve for t
The skydiver needs 0.71 seconds to reach 7 m/s
Answer:
<em>The motorboat ends up 7.41 meters to the west of the initial position </em>
Explanation:
<u>Accelerated Motion </u>
The accelerated motion describes a situation where an object changes its velocity over time. If the acceleration is constant, then these formulas apply:
The problem provides the conditions of the motorboat's motion. The initial velocity is 6.5 m/s west. The final velocity is 1.5 m/s west, and the acceleration is to the east. Since all the movement takes place in one dimension, we can ignore the vectorial notation and work with the signs of the variables, according to a defined positive direction. We'll follow the rule that all the directional magnitudes are positive to the east and negative to the west. Rewriting the formulas:
Solving the first one for t
We have
Using these values
We now compute x
The motorboat ends up 7.41 meters to the west of the initial position