The velocity of a particle which moves along the s-axis
is given by s=40-3t^2 where t is in seconds.
Calculate the displacement delta s of the particle during
the interval from t=2 to t=4

24 units

Explanation:

Δs = ∫ v(t) dt

Δs = ∫₂⁴ (40 − 3t²) dt

Δs = (40t − t³) |₂⁴

Δs = (40(4) − (4)³) − (40(2) − (2)³)

Δs = (160 − 64) − (80 − 8)

Δs = 96 − 72

Δs = 24

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.

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