Answer:
x(t) = ⅟₁₀₈t⁴ + 10t + 24
v(t) = ⅟₂₇t³ + 10
Explanation:
a(t) = C₁t²
velocity is the integral of acceleration
v(t) = ⅓C₁t³ + C₂
position is the integral of velocity
x(t) = (⅟₁₂C₁)t⁴ + C₂t + C₃
x(0) = 24 = (⅟₁₂C₁)0⁴ + C₂0 + C₃
C₃ = 24
x(6) = 96 = (⅟₁₂C₁)6⁴ + C₂6 + 24
72 = 108C₁ + 6C₂
C₂ = 12 - 18C₁
v(6) = 18 = ⅓C₁6³ + C₂
18 = 72C₁ + C₂
18 = 72C₁ + (12 - 18C₁)
6 = 54C₁
C₁ = 1/9
C₂ = 12 - 18(1/9)
C₂ = 10
<span>If your vehicle sinks in water and assuming that you are the driver, you should kick out the driver's window when the pressure equalizes.
You should't waste your time trying to reach the rear window and you shouldn't break the front window. Therefore, just break the one nearest to you which is the driver's window in this case.</span>
Answer:
Explanation:
The gravitational force between two masses is inversely proportional to the square of the distance between them such that,
.....(1)
We have,
r₁ = 208 m, 
, r₂ = 416 m, F₂ = ?
Put all the values in relation (1) such that,
So, the required force is . Hence, the correct option is (d).
Answer:
- Problem-recognition.
Explanation:
The consumer decision-making process is associated with the process of consumers recognizing their needs and requirements, collecting information followed by the evaluation of distinct alternatives available in the market and then finally reaching a decision to opt for a specific product to buy.
As per the given description, Gilbert's evaluation of his need that his current phone is not able to meet up his requirement and realization that he requires a phone with a longer-battery life exemplifies that he is in the '<u>problem-recognition</u>' phase of the consumer decision-making process. This stage would be followed by the assessment of alternatives(various phones with longer battery life) and reaching the conclusion to buy a specific chosen product after the evaluation.
