The acceleration of a particle is given by a = −ks2 , where a is in meters per second squared, k is a constant, and s is in meters. determine the velocity of the particle as a function of its position s. evaluate your expression for s = 5 m if k = 0.1 m−1 s−2 and the initial conditions at time t = 0 are s0 = 3 m and v0 = 10 m /s

v = 9.67 m/s

Explanation:

As we know that acceleration is rate of change in velocity

so it is defined as

here we know that

now we have

integrate both sides we have

here we know that

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