Answer:
a. 5.360m/s
b. -1.1m/s
c. 3.38m/s
Explanation:
V1 = 3.20j
V2 = 4.30i
Vp = 5.4(-i)
= -5.40i
a. Speed of boat 2 relative to shore
= v1 + v2
= 3.2j + 4.3i
Magnitude = √3 2²+4.3²
= √28.73
= 5.360m/s
b. Speed of passenger relative to boat 1
V(p,1) = vp + v2
= -5.40i + 4.3i
= -1.1m/s
c. Speed of passenger relative to share
V(p,s) = vp + v(2,s)
= -5.4i + 4.30i +3.2j
= -1.1i + 3.2j
Take magnitude
= √-1.1²+3.2²
= √ 1.21 +10.24
= √11.45
= 3.38m/s
Answer:
16 m/s
Explanation:
First, find the displacement in the east direction.
x = (15 m/s sin 45°) (3600 s) + (18 m/s cos 5°) (3600 s)
x = 102,737 m
Next, find the displacement in the north direction.
y = (15 m/s cos 45°) (3600 s) + (18 m/s sin 5°) (3600 s)
y = 43,831 m
Find the magnitude of the displacement.
d = √(x² + y²)
d = √((102,737 m)² + (43,831 m)²)
d = 111,697 m
Finally, find the resultant velocity.
v = d / t
v = (111,697 m) / (7200 s)
v = 15.5 m/s
Rounded to the nearest whole number, the resultant velocity is 16 m/s.
Scalar is a quantity such as mass or length that is completely determined by its own magnitude and has no direction. Therefore, your answer is Speed.
Answer:
It will take Andy 1.198minutes to mow the lawn and it will take Brian 1,209.98minutes to mow the same lawn.
Step-by-step explanation:
Using the simultaneous equation concept, let A denote Andy and B be Brian
Andy and Brian can mow the lawn for 1212minutes i.e A+B = 1212..eqn 1
If Brian would mow the lawn by himself in 1010 minutes more than it would take Andy, this means B=1010A...eqn 2.
Substituting eqn 2 into eqn 1
Equation 1 becomes
A+1010A=1212
1011A=1212
A=1212/1011
A=1.198
B = 1010×1.198
B=1,209.98
Therefore, It will take Andy 1.198minutes to mow the lawn and it will take Brian 1,209.98minutes to mow the same lawn.
Answer:
The kinetic energy K of a moving object is: K= 1/2mv to the second power
where m is the mass and v the velocity of the object.
Using this formula, we can calculate v for this problem
Explanation: