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

Answer Details

The given equation relates the velocity y of a particle to the time t. To find the instantaneous acceleration after 5 seconds, we need to take the derivative of the velocity function with respect to time:
acceleration (a) = d(y)/dt = d/dt (10 + 2t^2) = 4t
To find the instantaneous acceleration after 5 seconds, we substitute t=5 into the acceleration equation:
a = 4t = 4(5) = 20 m/s^2
Therefore, the correct answer is 20 ms^-2, which is shown in.