The position of the particle is given by:
x(t) = t³ - 12t² + 21t - 9
Differentiate x(t) with respect to t to find the velocity x'(t):
x'(t) = 3t² - 24t + 21
Differentiate x'(t) with respect to t to find the acceleration x''(t):
x''(t) = 6t - 24
Answer:
The appropriate response will be "Length must be increased by 0.012%".
Explanation:
The given values is:
ΔT = 5 s/day
Now,
⇒ 
On multiplying both sides by "100", we get
⇒ 
⇒ 
(%)
∵ 
On substituting the values, we get
⇒ 
% = 
%
On applying cross multiplication, we get
⇒ 
% = 
%
⇒ = 
⇒ = 
⇒ = 
%
Answer: work = 1,305kJ
Explanation:
angle= 30°
force= 1,500N
distance= 1,000m
The formula for work is : Work= force x distance, however there is an angle of 30° between the direction of force applied and the direction of motion, therefore force must be decomposed to its value on the horizontal axis which is the direction of motion by using the cosine of the very angle.
W= F×cos(α)×D
W= 1,500×cos (30)×1,000
W= 1,305kJ ( kilojoules)
Answer:
The World Series
Explanation:
The Super Bowl is the championship American Football game, and the World Cup is the Soccer/Football game.
American Football and Football are different things. The first is what Americans call football, while the other is what Americans call soccer. It is confusing.
Momentum = mass x velocity, so 500kg x 2m/s = 1000 kg m/s
