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

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increasing transnational kinetic energy. because the transnational kinetic energy formula consists of only two variables, mass and velocity, increasing one of those properties is the only way to increase an object's transnational kinetic energy. increases to mass and velocity, however, do not have the same impact.