Answer:
Speed = 13.0m/s
Step-by-step explanation:
Given that velocity, v = (ai ± bj)m/s.
Because speed is scalar and has only magnitude, we can obtain it from the velocity by calculating only the magnitude given as:
...Equation 1
From the question, we were given the position vector, r
The velocity can be obtained by differentiating r with respect to time, t
We have that differentiation of a constant is 0.
At time t = 2.00s,
To obtain the speed, we use equation 1
<em>Therefore, the speed of the object at time t = 2.00s is 13.00m/s</em>
Answer:
<u>1. Using the Pythagorean theorem.</u>
<u>2. Using the ratio 1 : 1 : √2.</u>
Step-by-step explanation:
There are two options to find the value of x:
1. Using the Pythagorean theorem:
Hypotenuse = 5√2 inches and legs are equal in a 90 - 45 - 45 triangle like this.
Hypotenuse² = Leg² + Leg²
(5√2)² = 2Leg²
50 = 2Leg²
50/2 = Leg²
Leg² = 25
√Leg² = √25
Leg = 5 inches ⇒ x = 5
2. Using the ratio 1 : 1 : √2, this way:
1 : 1 : √2
x : x : 5√2
x = 5√2/√2
x = 5 and let's recall that in a 90 - 45 - 45 triangle legs are equal, therefore. ratio is:
5 : 5 : 5√2
Answer:
40.14
Step-by-step explanation:
18 = 2x + 4
2x = 14
x = 7
answer
first line: 1st box: 18 and 2nd box: 4
second line: $7 an hour