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The velocity y of a particle in a time t is giv... - JAMB Physics 2000 Question

The velocity y of a particle in a time t is given by the equation

y = 10 + 2t2

Find the instantaneous acceleration after 5 seconds

A
60 ms-2
B
20 ms-2
C
15 ms-2
D
10 ms-2
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Correct Option: B

The velocity V = 10 + 2t2

But acceleration, a = dv/dt

thus if V = 10 + 2t2

dv/dt = 4t

And t = 5s then a = 4x5 = 20m/s2

∴a = 20ms

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