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  1. Problems
  2. /Python for Science and Maths
  3. /Calculus by Computer

Calculus by Computer

Python Programming
+ Upload a Problem
More in Python for Science and MathsNumPy ArraysGraphs with matplotlibSolving EquationsCalculus by ComputerSimulation and RandomnessData Analysis with pandasChemistry by Computer
10 problems
Type:
1.
With the drag constant k = 0.0089 per metre, find the best angle (whole degrees, from 20 to 70) for…
High School (11–12), High School (9–10), Undergraduate, General · Calculus by ComputerStemPy LabStemPy Lab
Hard
2.
The drag constant is k = (ρ Cd A)/2m, so for a ball of the same size and shape, it is inversely…
High School (11–12), High School (9–10), Undergraduate, General · Calculus by ComputerStemPy LabStemPy Lab
Medium
3.
A skydiver falls with the quadratic drag dv/dt = g - g/vt²v², where g = 9.8 m/s² and the terminal…
High School (11–12), High School (9–10), Undergraduate, General · Calculus by ComputerStemPy LabStemPy Lab
Hard
4.
A cup of tea at 90 degrees cools in a room at 20 degrees.
High School (11–12), High School (9–10), Undergraduate, General · Calculus by ComputerStemPy LabStemPy Lab
Medium
5.
The force that is needed to stretch a stiff spring by x metres is F(x) = 50x + 200x³ newtons.
High School (11–12), High School (9–10), Undergraduate, General · Calculus by ComputerStemPy LabStemPy Lab
Medium
6.
The standard normal curve is φ(z) = 1/(√(2π)) e^(-z²/2).
High School (11–12), High School (9–10), Undergraduate, General · Calculus by ComputerStemPy LabStemPy Lab
Medium
7.
A train's speed in m/s was measured at the times 0, 2, 5, 9, 10 and 12 s: 0, 6, 10, 10, 4 and 0.
High School (11–12), High School (9–10), Undergraduate, General · Calculus by ComputerStemPy LabStemPy Lab
Medium
8.
The area under sin x from 0 to π is exactly 2.
High School (11–12), High School (9–10), Undergraduate, General · Calculus by ComputerStemPy LabStemPy Lab
Medium
9.
The height of a ball is h(t) = 20t - 4.9t² metres.
High School (11–12), High School (9–10), Undergraduate, General · Calculus by ComputerStemPy LabStemPy Lab
Medium
10.
A trolley is at the positions 0, 3, 12, 27, 48 and 75 m at the times 0, 1, 2, 3, 4 and 5 s.
High School (11–12), High School (9–10), Undergraduate, General · Calculus by ComputerStemPy LabStemPy Lab
Easy