Calculus for Physics Practice
10 problems · instant feedback · full explanations
Derivative = rate of change (slope). Integral = accumulation (area). Physics lives in these two operations: v = dx/dt, and displacement = ∫v dt.
Q1.
What is the derivative of t³ with respect to t?
Multiple choice · Easy
Q2.
If x(t) is position, what is dx/dt?
Multiple choice · Easy
Q3.
Position x = 3t² (m). What is the velocity at t = 2 s? (m/s)
Numerical answer (m/s) · Medium
Q4.
For x = 3t², what is the acceleration? (m/s²)
Numerical answer (m/s²) · Medium
Q5.
What is ∫₀² 3t dt? (Physically: displacement for v = 3t from t=0 to 2.)
Multiple choice · Medium
Q6.
What is the derivative of sin(ωt) with respect to t?
Multiple choice · Hard
Q7.
A variable force F = 5x (N) acts from x = 0 to 4 m. How much work is done? (J)
Numerical answer (J) · Hard
Q8.
A definite integral computes the area under a curve between limits.
True / False · Easy
Q9.
The derivative of a constant is the constant itself.
True / False · Medium
Q10.
To find when a velocity function v(t) is at a maximum, look:
Multiple choice · Hard