a-particle-moves-along-a-line-with-velocity-vt4sin2t-vt-4-sin2pi-t-and-initial-p

Question

A particle moves along a line with velocity v(t)=4sin⁡(2πt) v(t) = 4 \sin(2\pi t) , and initial position s(0)=0 s(0) = 0 . Find the displacement of the particle from t=0t=0 to t=1t=1, and the total distance traveled during this interval.

Accepted Answer

Displacement: 00 unitsTotal distance traveled: 8π\frac{8}{\pi} units

Answer

Displacement: 00 unitsTotal distance traveled: 2π\frac{2}{\pi} units

Answer

Displacement: 2π\frac{2}{\pi} unitsTotal distance traveled: 8π\frac{8}{\pi} units

Answer

Displacement: 8π\frac{8}{\pi} unitsTotal distance traveled: 00 units

A particle moves along a line with velocity v(t)=4sin(2πt) v(t) = 4 \(\sin\)(2\(\pi\) t) , and initial position s(0)=0 s(0) = 0 . Find the displacement of the particle from t=0t=0 to t=1t=1, and the total distance traveled during this interval.

A particle moves along a line with velocity $v of t equals 4 sine 2 pi t$ , and initial position $s of 0 equals 0$ . Find the displacement of the particle from $t equals 0$ to $t equals 1$ , and the total distance traveled during this interval.