Particle Motion Quizizz for points

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A particle moves along the x-axis so that at time x≥0. Its position is given by x(t)=2t³ - 21t² + 72t - 53. At what time t is the particle at rest?

• (A) t=1 only

• (B) t=3 only

• (C) t=7/2

• (D) t=3 and t=7/2

• (E) t=3 and t=4

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A particle moves along a straight line. The graph of the particle’s position x(t) at time t is shown above for 0<t<6. The graph has horizontal tangents at t=1and t=5 and a point of inflection at t = 2 . For what values of t is the velocity of the particle increasing?

• (A) 0 < t < 2

• (B) 1 < t < 5

• (C) 2 < t < 6

• (D) 3 < t < 5 only

• (E) 1 < t < 2 and 5 < t < 6

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A particle moves along the x-axis with velocity given by v(t) = 3t² + 6t for time t = 0. If the particle is at position x = 2 at time t = 0 , what is the position of the particle at time t =1?

• (A) 4

• (B) 6

• (C) 0

• (D) 11

• (E) 12

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The velocity of a particle moving on a line at time t is v = 3t ^1/2 + 5t ^3/2 meters per second. How many meters did the particle travel from t = 0 to t = 4?

• (A) 32

• (B) 40

• (C) 64

• (D) 80

• (E) 184

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If the position of a particle on the x-axis at time t is −5t² , then the average velocity of the particle for 0 ≤ t ≤ 3 is

• (A) -45

• (B) -30

• (C) -15

• (D) -10

• (E) -5