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1. A 5.0 kg block slides down a 30° incline with μk = 0.20. Draw a free body diagram and find the acceleration.

mgNfk30°

Along incline:

mg sin θ − μkmg cos θ = ma

a = g(sin30 − 0.2 cos30)

= 9.8(0.5 − 0.173)

a = 3.2 m/s²

2. A 0.50 kg ball is thrown upward at 15 m/s. Find the maximum height using energy conservation. Then sketch a velocity-time graph for the complete motion.

KE → PE:

½mv² = mgh

h = v²/2g = (15)²/(2 × 9.8)

= 225/19.6

h = 11.5 m

vt151.53s-15

v decreases as ball rises, passes through

zero at max height, then increases

downward (negative) on the way back.

3. Two masses m1 = 3.0 kg and m2 = 5.0 kg are connected by a string over a frictionless pulley. Find the acceleration and tension.

m₁m₂

m₁: T − m₁g = m₁a

m₂: m₂g − T = m₂a

Add: a = (m₂−m₁)g/(m₁+m₂)

= (2)(9.8)/8

a = 2.45 m/s²

T = m₁(g+a) = 3(12.25)

T = 36.75 N

Student Exam

GradyEDITABLE
Grade:
85

Feedback:

Question 1 — Inclined Plane (30 pts): 30/30

Free body diagram is complete with all three forces correctly identified and labeled. The decomposition into components was handled cleanly. Excellent work.

Question 2 — Energy & Kinematics (35 pts): 28/35

Energy conservation is correct and h = 11.5 m is right. However, the v-t graph is drawn as a curve when it should be a straight line. Under constant gravitational acceleration, v(t) = v₀ − gt is linear. Review Section 3.4 on uniformly accelerated motion to see why constant acceleration always produces a linear v-t graph (−7 pts).

Question 3 — Atwood Machine (35 pts): 35/35

Clear diagram. Newton's 2nd law applied correctly to each mass, then combined to eliminate T. Both a and T correct.

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student-submission.pdf

MKT 350 – Midterm Exam: Market Analysis and Strategy

Student Marketing Strategy Exam - Page 7
GradyEditable
Grade:88

Feedback:

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300 exams

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Faculty: Full editorial controlStudents: Consistent, thorough feedback
GradyEDITABLE
Grade:
78

Feedback:

Question 1 — Integration by Substitution (25 pts): 25/25

You correctly applied u-substitution with u = x² + 1 and showed clear work throughout. Your final answer was simplified properly.

Question 2 — Integration by Parts (25 pts): 18/25

You correctly identified u and dv, but there was a sign error during the evaluation step. The integral of e^x was handled well, but the negative sign was dropped when…

Gain an aerial view of class comprehension

Class-level analytics surface which concepts need revisiting and which students need support. Faculty teach more effectively; students benefit from courses that adapt to actual learning gaps and get more targeted practice.

Faculty: Actionable class analyticsStudents: More targeted instruction

Grade Distribution

036950-5960-6970-7980-8990-99100025970

Performance

84

Average /100

85

Median /100

23

Students

Class Performance Summary

The class performed well overall on the Calculus II midterm, with a mean score of 84/100 and a median of 85/100. Students demonstrated strong competence in integration by substitution (Q1) and partial fraction decomposition (Q3). The primary area of difficulty was integration by parts (Q2), where 12 of 23 students made sign errors during evaluation — suggesting a procedural gap rather than a conceptual one. Graph labeling (Q4) was another common weakness, with 8 students omitting axis labels entirely.

Students

Emma Davis98/100

Outstanding work, nearly flawless execution

Lucas Jackson97/100

Exceptional performance, minor formatting issue

Anna Liu95/100

Near-perfect work, minor notation inconsistency

Brandon Lee93/100

Excellent work throughout, minor notation issues

James Kim92/100

Excellent across all sections, minor graph labeling issue

Priya Patel91/100

Excellent method selection, minor sign error

Ryan O’Brien90/100

Strong across the board, minor graph scale issue

Kevin Chen89/100

Strong partial fractions, minor sign slip

Michael Thompson88/100

Good overall, small algebraic slip in partial fractions

Sophie Williams87/100

Solid understanding, small arithmetic error in Q2

Olivia Moore86/100

Good partial fractions, minor sign tracking issue

Emily Rodriguez85/100

Solid partial fractions work, needs axis labels

Chris Anderson84/100

Good setup on all problems, arithmetic errors

Hannah White82/100

Solid fundamentals, arithmetic errors in evaluation

Jessica Nguyen81/100

Solid fundamentals, forgot constant of integration

Noah Taylor80/100

Correct methods chosen, lost points on graph labels

Sarah Mitchell78/100

Strong substitution, sign error in integration by parts

Ethan Clark77/100

Correct approach on Q1/Q3, lost points on Q2/Q4

Tom Wilson76/100

Correct substitution, missing axis labels and +C

Ashley Martinez74/100

Good substitution, struggles with partial fractions

David Park72/100

Substitution correct, struggles with parts/graphing

Daniel Brown69/100

Struggles with integration by parts, needs graphing practice

Maria Garcia67/100

Needs review of integration by parts and partial fractions

Common Errors

Integration by parts — sign errors12

Students correctly identify the method but frequently drop the negative sign during evaluation.

Missing graph axis labels8

Correct general shape drawn but axis labels and scale markings consistently omitted.

Partial fractions — coefficient errors6

Decomposition setup correct, but errors when solving the system for coefficients.

Forgetting constant of integration5

Correct antiderivatives reached but +C constant omitted.

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What faculty are saying

Its grading is broadly similar to human grading, and its ability to generate a marking rubric was excellentin some cases more effective than a humans. I think the core of what it is doing is amazing.

Alexander Paulin

UC Berkeley

Associate Teaching Professor of Mathematics

Overall the grading quality is impressive. The feedback that is provided is clear, helpful and should promote student learning.

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Columbia University

Senior Teaching Faculty of Computer Science

I am very impressed. I believe Grady is more accurate than myself or any of my undergrad TAs and the amount of feedback given is more than I or my TAs would be reasonably able to provide.

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The Ohio State University

Senior Lecturer, Computer Science and Engineering

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