Question #128864

5. A boat is sailing along a circular path of v= (0.0625t^2) m⁄s where t is in seconds. Determine the magnitude of its acceleration when t= 10 s.

Expert's answer

"v = 0.0625t^2"

The acceleration by definition is "a(t) = \\frac{dv}{dt}= 0.0625 \\cdot 2 \\cdot t= 0.125t"

At the time t=10 s: "a(10) = 0.125 \\cdot 10= 1.25 \\; \\frac{m}{s^2}"

Answer: "a(10) = 1.25 \\; \\frac{m}{s^2}"

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