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the velocity time gaph of a particl movingalongthe x-axis is given by x=2txt +4t,where t is in s&v is in m/s.from th graph find the instantaneous acceleration of the particle at time a)t=1.2sec b)t=2sec c)t=1sec and d)t=2.5sec
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Asked 11/13/2008 1:28:34 PM
Updated 329 days ago|7/23/2023 12:46:28 AM
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User: the velocity time gaph of a particl movingalongthe x-axis is given by x=2txt +4t,where t is in s&v is in m/s.from th graph find the instantaneous acceleration of the particle at time a)t=1.2sec b)t=2sec c)t=1sec and d)t=2.5sec

Weegy: 2.5



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Asked 11/13/2008 1:28:34 PM
Updated 329 days ago|7/23/2023 12:46:28 AM
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Find the derivative of the velocity-time graph with respect to time (t). The instantaneous acceleration (a) is the rate of change of velocity with respect to time.

Given the velocity-time graph: v = 2t + 4 (where v is in m/s and t is in seconds)

1. Find the acceleration by taking the derivative of velocity with respect to time:
a = dv/dt
a = d/dt (2t + 4)
a = 2 (since the derivative of 4 with respect to t is 0)

So, the instantaneous acceleration of the particle is constant and equal to 2 m/s² for all values of time (t).

Therefore, the answer is the same for all options (a), (b), (c), and (d). The instantaneous acceleration of the particle at any time is 2 m/s^2.
Added 329 days ago|7/23/2023 12:46:28 AM
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