As the parachutist is descending at a steady rate
we can conclude that

Acceleration indicates the change in velocity
given the constant velocity in this scenario

Thus, in this situation, we find the acceleration to be zero
It’s understood from Newton's second law

where a is equal to 0


Here, the force due to gravity
equals the force due to buoyancy
Hence, we can deduce

therefore

as such the upward force is counteracted by the downward force.
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Answer:
The distance covered by the minutes hand is 39.60 cm.
Explanation:
Note: A clock has a circular shape, where the minutes hand acts as the radius, and its motion creates an arc.
Length of an arc is calculated as ∅/360(2πr)
L = ∅/360(2πr).................... Equation 1π
Here, L represents the arc’s length, ∅ is the angle made by the arc, and r is the arc’s radius.
Given: ∅ = 252°, r = 9 cm, π = 3.143.
Upon substituting these values into equation 1,
L = 252/360(2×3.143×9)
L = 0.7×2×3.143×9
L = 39.60 cm.
Thus, the distance traversed by the minutes hand is 39.60 cm.
Answer:
a. Angle= 28.82°
b. Approved. Although he might feel cold, he should be able to cross.
Explanation:
Velocity Vector
Velocity is a measure of how quickly something is moving in a specific direction. It is represented as a vector that has both magnitude and direction. If an object can only move in one direction, then speed can serve as the scalar equivalent of that velocity (only focusing on magnitude).
a.
The explorer aims to swim across a river to reach his campsite, as depicted in the image below. The river's velocity is vr and the explorer's swimming speed in still water is ve. If he were to swim straight towards the campsite, he would end up downstream due to the river's current. Therefore, he must swim at an angle that allows him to overcome the current while still moving towards his goal. This angle relative to the shore is what we need to determine. The explorer's speed can be broken down into its horizontal (vx) and vertical (vy) components. In order to counteract the river's flow:

We can calculate the vertical component of the explorer's swimming speed as

Thus

Finding the value of 


Then the angle is given by

b.
The component of the explorer's velocity that goes horizontally is


This represents the actual velocity directed towards the campsite
Considering that

To find t

Calculating the duration for the explorer to cross the river


As this time is under the hypothermia threshold (300 seconds), the conclusion is
Approved. Although he will feel cold, he should manage to cross successfully.
The half-life for substance A is determined to be 17.1 days. To explain: The half-life for substance B is noted to be 1.73 days. Let’s convert the 3 days elapsed time into terms of half-lives of B: 1.37 days equates to 1 half-life of B, implying 3 days translates to multiples of half-lives of B, specifically 2.19 half-lives. Consequently, the quantity of A in regard to B is expressed as follows: A = 4.04 B. For B, we can express the quantity after n half-lives as B0 / 2ⁿ. Hence, applying these relationships after 2.19 half-lives results in adjusting A similarly as A0 / 2ⁿ. Our derived equations lead us to relate the two expressions through substitutions where after cancelling A0, we derive the final calculation: 2ⁿ = 4.04 divided by 2^(2.19), which ultimately simplifies leading to 1 half-life of A totaling 17.1 days.