What are the velocities of the two cars approaching the intersection?

Understanding Related Rates in Motion

Interactive Video
•
Mathematics, Physics
•
10th - 12th Grade
•
Medium

Ethan Morris
Used 1+ times
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
40 km/h and 90 km/h
50 km/h and 70 km/h
60 km/h and 80 km/h
50 km/h and 90 km/h
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
At the initial instant, how far is the first car from the intersection?
0.8 kilometers
1.2 kilometers
1.0 kilometers
0.5 kilometers
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial distance of the second car from the intersection?
0.8 kilometers
1.0 kilometers
1.2 kilometers
0.5 kilometers
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In which directions are the two cars moving towards the intersection?
One in the x-direction and the other in the y-direction
Both in the y-direction
One in the y-direction and the other in the z-direction
Both in the x-direction
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which mathematical theorem is used to relate the distances between the cars and their respective distances from the intersection?
Mean value theorem
Pythagorean theorem
Binomial theorem
Fundamental theorem of calculus
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the distance between the two cars using the Pythagorean theorem?
D = X + Y
D = X^2 - Y^2
D = X^2 + Y^2
D = sqrt(X^2 + Y^2)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between D(t), X(t), and Y(t) derived from the Pythagorean theorem?
D(t) = X(t) + Y(t)
D(t)^2 = X(t)^2 + Y(t)^2
D(t) = X(t)^2 - Y(t)^2
D(t) = X(t) * Y(t)
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