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Unit 1

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Unit 2

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Unit 3

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Unit 4

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Unit 5

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Unit 6

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Unit 7

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Quiz

Lesson 1 Quiz: Momentum, Newtons Three Laws of Motion, Impulse and Energy

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  • Questions count: 20
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1.
STEM Calculus Problem 9: Find the derivative dy/dx for the function y = sin3(2x).
6 sin2(2x)
3 sin2(2x) cos(2x)
6 sin2(2x) cos(2x)
3 sin2(2x)
2.
STEM Limits Problem 19: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
0
Undefined
5/2 (or 2.5)
1
3.
If y = (2x + 1) * (3x - 4), then dy/dx evaluated at x = 1 equals:
12
7
1
-5
4.
STEM Calculus Problem 30: Find the derivative dy/dx for the function y = sin3(2x).
6 sin2(2x) cos(2x)
6 sin2(2x)
3 sin2(2x) cos(2x)
3 sin2(2x)
5.
STEM Vector Algebra Problem 10: If vector A = (2, -3, 1) and vector B = (1, 2, -4), calculate the dot product A · B.
-8
10
6
-4
6.
STEM Limits Problem 27: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
5/2 (or 2.5)
Undefined
0
1
7.
STEM Algebra Problem 32: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
210
1
252 (the 6th term T_6 = 10C5)
120
8.
STEM Statics Problem 20: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
10√3 N
20√3 N (approximately 34.64 N)
60 N
30 N
9.
STEM Algebra Problem 13: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
120
210
252 (the 6th term T_6 = 10C5)
1
10.
STEM Algebra Problem 41: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
252 (the 6th term T_6 = 10C5)
210
120
1
11.
STEM Limits Problem 34: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
0
1
5/2 (or 2.5)
Undefined
12.
STEM Algebra Problem 17: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
120
210
252 (the 6th term T_6 = 10C5)
1
13.
STEM Vector Algebra Problem 19: If vector A = (2, -3, 1) and vector B = (1, 2, -4), calculate the dot product A · B.
-8
10
6
-4
14.
STEM Statics Problem 26: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
10√3 N
20√3 N (approximately 34.64 N)
60 N
30 N
15.
STEM Solid Geometry Problem 42: What is the equation of a sphere in 3D Cartesian coordinates with center C(2, -1, 3) and radius r = 5?
(x - 2)2 + (y + 1)2 + (z - 3)2 = 25
(x - 2)2 + (y - 1)2 + (z - 3)2 = 5
(x + 2)2 + (y - 1)2 + (z + 3)2 = 25
x2 + y2 + z2 - 4x + 2y - 6z = 25
16.
STEM Solid Geometry Problem 3: What is the equation of a sphere in 3D Cartesian coordinates with center C(2, -1, 3) and radius r = 5?
(x - 2)2 + (y + 1)2 + (z - 3)2 = 25
(x + 2)2 + (y - 1)2 + (z + 3)2 = 25
(x - 2)2 + (y - 1)2 + (z - 3)2 = 5
x2 + y2 + z2 - 4x + 2y - 6z = 25
17.
STEM Statics Problem 44: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
30 N
10√3 N
60 N
20√3 N (approximately 34.64 N)
18.
STEM Calculus Problem 10: Find the derivative dy/dx for the function y = sin3(2x).
3 sin2(2x)
6 sin2(2x)
3 sin2(2x) cos(2x)
6 sin2(2x) cos(2x)
19.
STEM Limits Problem 22: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
5/2 (or 2.5)
Undefined
0
1
20.
If the tangent to y = x2 - 4x + 5 is parallel to the x-axis, the point of tangency is:
(2, 1)
(2, 0)
(0, 5)
(4, 5)
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