Answer:
A) 
Explanation:
Since a = g - bv,
We can substitute a = dv/dt into the equation.
Then, the equation will be like dv/dt = g - bv.
So we got first order differential equation.
As known, v = 0 at t = 0, and v = g/b at t = ∞.
Since
⇒ 
So take the integral of both side.

Since for t=0, v = 0 ⇒ 

Answer:
Both objects are packed equally tightly.
Explanation:
For Substance R we have
mass = 10 g
Volume = 22 cubic cm
So we know that density is defined as

here we have


For substance S we have
mass = 25 g
Volume = 55 cubic cm
So we know that density is defined as

here we have


So here both have same density
so correct answer would be
Both objects are packed equally tightly.
(a) Since the lake has a circular shape, the distance they traveled is exactly 3/4 of a circumference. The radius of the lake is 2.51 km, and the circumference is given by

, therefore the distance covered is

(b) We can consider the lake to be on a xy-plane with the origin of the axes being at the center of the lake. In this system of coordinates, the starting point of the motion is at the west side of the lake, so at coordinates (-2.51 km,0). The final point is after 3/4 of circumference, therefore at the north side, at coordinates (0, 2.51 km).
So we can calculate the magnitude of the displacement as


(c) Considering only the initial and final point of the motion, the couple moved 2.51 km north (on the x-axis) and 2.51 km east (on the y-axis). Therefore, we can calculate the angle of the displacement with respect to the east direction:

from which
The force of gravity pulls vertically down on the object. It does not pull left or right, so there are no horizontal forces due to gravity. This means the horizontal velocity remains constant throughout the object's projectile parabolic path.
Note: this is assuming wind resistance is ignored. If you account for wind resistance, then the object will slow down because the air particles push against the object and impede its progress.
Answer:
Force = Mass x Acceleration
Explanation: