I\'m so sorry, I meant to put this question... The figure below gives the accele

Question

I'm so sorry, I meant to put this question...
The figure below gives the acceleration a versus timet for a particle moving along an x axis. Att = -2.0 s, the particle's velocity is +20 m/s. What is its velocity at t =6.0 s?
1m/s acceleration time graph... (8,4) I'm so sorry, I meant to put this question...
The figure below gives the acceleration a versus timet for a particle moving along an x axis. Att = -2.0 s, the particle's velocity is +20 m/s. What is its velocity at t =6.0 s?
1m/s acceleration time graph... (8,4)

Explanation / Answer

   velocity, v = dx / dt = 6t2 (b)   at t =2 s, instantaneous velocity = 6 *(2) 2 = 24 cm/s (c)   at t =3 s, instantaneous velocity = 6 *(3) 2 = 54 cm/s (d) at t =2.5 s, instantaneous velocity = 6 * (2.5)2 = 37.5 cm/s (e)   at t =2 s, position x1 =6.75 + 2.00t 3 = 6.75 + 2(2)3 = 22.75 m        at t = 3 s, position x2= 6.75 + 2.00t 3= 6.75 + 2 (3)3 = 60.75 m        distance between t=2s andt=3s is , d = (x2 - x1) = 38 m                 distance ofmidpoint of t=2s and t=3s from the position of t=2s , x = 22.75 +38/2 = 41.75 m                x = 6.75 + 2.00t 3                41.75 = 6.75 + 2 t 3                        t = 2.59 s         at t= 2.59s , instantaneous velocity = 6 * (2.59) 2 =40.25 cm/s                        t = 2.59 s         at t= 2.59s , instantaneous velocity = 6 * (2.59) 2 =40.25 cm/s                   

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