A particle moves as x = t⁴ − 4t² metre. The total distance travelled from t=0 to t=3 s is:

Question

G1 Physics · Accepted Answer

v = 4t³−8t = 4t(t²−2). In 0≤t≤3, the turning point is t=√2. Positions: x(0)=0, x(√2)=4−8=−4, x(3)=81−36=45. Distance = |−4−0| + |45−(−4)| = 4+49 = 53 m.