particle journey

[mathsmad]

A particle starts from rest at O and travels to A. The journey from O to A takes 25 seconds. The particle reaches A with a speed of 15ms. the velocity of the particle t seconds after it leaves 0 is vms. It is given that v=kt²

Find the distance O to A

Find the distance of the particle from 0 when its acceleration is 0.72m/s/s

thanks for any help

 

[Deleted member 4993]

A particle starts from rest at O and travels to A. The journey from O to A takes 25 seconds. The particle reaches A with a speed of 15ms. the velocity of the particle t seconds after it leaves 0 is vms. It is given that v=kt²
What is "ms" - is that a typo?

Find the distance O to A <<< You are given a function for 'V' in terms of 't'. What is the relationship between distance travelled and speed?

\(\displaystyle \int_{s_1}^{s_2}ds \, = \, \int_{t_1}^{t_2}v(t) \, dt\)

Find the distance of the particle from 0 when its acceleration is 0.72m/s/s<<<What is the relationship between acceleration and speed?

\(\displaystyle a(t) \, = \, \frac{dv(t)}{dt}\)

thanks for any help

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