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

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
Correct Answer: Option B
Explanation

The velocity V = 10 + 2t2
But acceleration, a = dv/dt
thus if V = 10 + 2t2
dv/dt = 4t
And t = 5s then a = 4×5 = 20m/s2
∴a = 20ms

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