Answer:
A. 216.36 
B. 96.56
Explanation:
Let 
be the distance in first part.
= velocity × time
= 85 × 
= 49.58 km
Let 
be the distance in first part.
= 130 km
Average velocity = 
When second leg of the trip is
A. Toward north
Average velocity = ![\frac{[tex] s_{1} + s_{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Btex%5D%20s_%7B1%7D%20%2B%20s_%7B2%7D%20%20%20)
}{Total time} [/tex]
Average velocity = 
Average velocity =216.36
B. Toward south
Average velocity = ![\frac{[tex] s_{1} - s_{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Btex%5D%20s_%7B1%7D%20-%20s_%7B2%7D%20%20%20)
}{Total time} [/tex]
Average velocity = 
Average velocity =96.56
Answer:
The sum of the lengths of the sides is 2292 yards and the sum of the lengths of the triangle is 3056 yards
Explanation:
Since y represents the length of fence that is opposite (parallel) to the river and x represent the length of fence perpendicular to the river.
Therefore since we can use 3,056 yards of fencing
Side perpendicular to the river = x and,
Side opposite to the river = y = 3056 - 2x
The area of the rectangle formed (A) = Perpendicular side × Parallel side
∴ A = x(3056 - 2x) = 3056x - 2x²
A = 3056x - 2x²
To maximize the area, A' (dA/dx) = 0
∴ A' = 3056 - 4x = 0
3056 - 4x = 0
4x = 3056
x = 764 yards
y = 3056 - 2x = 3056 - 2(764) = 1528 yards.
Side perpendicular to the river = 764 yards and,
Side opposite to the river = 1528 yards
The sum of the lengths of the sides = 764 + 1528 = 2292 yard and the sum of the lengths of the triangle = 764 + 764 + 1528 = 3056 yards
Answer:
Total momentum = 50kgm/s
Explanation:
<u>Given the following data;</u>
Mass, M1 = 5kg
Mass, M2 = 7kg
Velocity, V1 = 10m/s
Velocity, V2 = 0m/s (since it's at rest).
To find the total momentum;
Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.
Mathematically, momentum is given by the formula;
The law of conservation of momentum states that the total linear momentum of any closed system would always remain constant with respect to time.
Total momentum = M1V1 + M2V2
Substituting into the equation, we have;
Total momentum = 5*10 + 7*0
Total momentum = 50 + 0
<em>Total momentum = 50 kgm/s</em>
<em>Therefore, the total momentum of the bowling ball and the putty after they collide is 50 kgm/s. </em>
Answer:
True
Explanation:
Obesity is a growing concern in children as rates skyrocket to an all time high
Answer:
Speed of sound is 30.91m/s
Explanation:
Speed is given by:
Speed = distance travelled / time taken
Given:
Distance travelled = 1020m
Time taken = 33seconds
Speed = 1020m/33s
Speed = 30.91m/s
