I assume you are looking for the formula, and the velocity.
The formula:
v1^2-v0^2=2aS
where
v0=initial velocity (0 if object falls from rest), ft/s
v1=velocity reached after falling a distance S, ft/s
S=distance from initial position, positive downwards (for falling objects), ft
a=acceleration due to gravity, 32.2 ft/s^2 in imperial units
So substituting numbers, assuming initial velocity is zero (from rest), then
S=25 ft
v1^2-0^2=2*32.2*25
v1^2=1610
v1=sqrt(1610)
=40.1 ft/s
Answer: B, C, E
Step-by-step explanation:
For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.
A. 12 pieces of 42.3 centimeter long rope.
= 12 × 42.3
= 507.6
This is wrong
B. 15 pieces of 33.6 centimeter long rope
= 15 × 33.6
= 504cm
This is correct
C. 16 pieces of 31.5 centimeter long rope
= 16 × 31.5
= 504cm
This is correct
D. 20 pieces of 25 centimeter long rope
= 20 × 25
= 500cm
This is incorrect
E. 35 pieces of 14.4 centimeter long rope
= 35 × 14.4
= 504cm
This is correct
Therefore, the correct option are B, C and E.
Answer:
his total income by the end of 4 years will be: $2622.
Step-by-step explanation:
A man earns a base salary of $2000, and every year he got a raise of 7% on his total income.
The first year, he will earn: 1.07($2000) = $2140
The second year he will earn: 1.07($2140) = $2289.8
The third year he will earn: 1.07($2289.8) = $2450.086
The fourth year he will earn: 1.07($2450.086) = $2621.59202
Therefore, his total income by the end of 4 years will be: $2622.
