Answer:
(a) a = (2i + 4.5j) m/s^2
(b) r = ro + vot + (1/2)at^2
Explanation:
(a) The acceleration of the particle is given by:
vo: initial velocity = (3.00i -2.00j) m/s
v: final velocity = (9.00i + 7.00j) m/s
t = 3s
by replacing the values of the vectors and time you obtain:
![\vec{a}=\frac{1}{3s}[(9.00-3.00)\hat{i}+(7.00-(-2.00))\hat{j}]\\\\\vec{a}=(2\hat{i}+4.5\hat{j})m/s^2](https://tex.z-dn.net/?f=%5Cvec%7Ba%7D%3D%5Cfrac%7B1%7D%7B3s%7D%5B%289.00-3.00%29%5Chat%7Bi%7D%2B%287.00-%28-2.00%29%29%5Chat%7Bj%7D%5D%5C%5C%5C%5C%5Cvec%7Ba%7D%3D%282%5Chat%7Bi%7D%2B4.5%5Chat%7Bj%7D%29m%2Fs%5E2)
(b) The position vector is given by:
where vo = (3.00i -2.00j) m/s and a = (2.00i + 4.50j)m/s^2
S=d/t
speed can be calculated by dividing distance by time.
Answer:
Alternating current
Explanation:
The electrical current periodically changes direction.
<span>Since density is equal to mass divided by volume, we can determine the relationship between mass, density, and volume. Therefore, we can automatically know that the answer must either be A or B, since this information is determinable.
The prompt lists the object as small. Therefore, we know that density is high, but volume is low. Let's examine the equation (D = M/V), where d = density, m = mass, and v = volume. In order for any number to be divided by a smaller number and have the end result be a higher number, the numerator (i.e. mass) must be bigger than the denominator (i.e. volume).
We can also see that this is true by substituting in somewhat random numbers for d, m, and v.
D = M / V
5 = 10 / 2
10 > 2
M > V
In conclusion, your answer is D.</span>
Answer:
27.1m/s
Explanation:
Given parameters:
Height of the building = 30m
Initial velocity = 12m/s
Unknown:
Final velocity = ?
Solution:
We apply one of the kinematics equation to solve this problem:
v² = u² + 2gh
v is the final velocity
u is the initial velocity
g is the acceleration due to gravity
h is the height
v² = 12² + (2 x 9.8 x 30)
v = 27.1m/s
