Answer:
See explanation.
Step-by-step explanation:
Let us first analyze some principle theory. By definition we know that the velocity ( ) is a function of a distance ( ) covered in some time ( ), whilst acceleration ( ) is the velocity achieved in some time. These can also been expressed as:
and
We also know that both velocity and acceleration are vectors (therefore they are characterized by both a magnitude and a direction). Finally we know that given a position vector we can find the <u>velocity and the acceleration</u>, by differentiating the vector with respect to time, once and twice, respectively.
Let us now solve our problem. Here we are givine the Position vector of a particle P (in two dimensional space of ) as:
Eqn.(1)
Let us solve.
<u>Part (a) Velocity: </u><u>we need to differentiate Eqn.(1) with respect to time as:</u>
Eqn.(2)
<u>Part (b) Acceleration: </u><u>we need to differentiate Eqn.(2) with respect to time as:</u>
<u /><u />
<u />
Thus the expressions for the velocity and the acceleration of particle P in terms of t are
and
Answer:
THE TOTAL INTEREST AFTER A YEAR IS 3,385 . HOW MUCH WAS INVESTED AT EACH RATE? ... Amount invested at 13% is 27000-x; amount of int is ... One way we can do that is to solve our first equation for one of the unknowns in ... invested was $27,000, the remaining $12,500 must be the amount invested at 12%.
Step-by-step explanation:
Answer:
P(A∩B)=P(A)*P(B)
Step-by-step explanation:
Answer:
= 6n + 1
Step-by-step explanation:
This is an arithmetic sequence with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 13 - 6 = 7 and d = 6 , then
= 7 + 6(n - 1) = 7 + 6n - 6 = 6n + 1
One bag holds 4 donuts, so B bags hold 4B donuts.
One cartoon holds 10 donuts, so C bags hold 10C donuts.
So, altogether
T = 4B + 10C (donuts).