A proton in a synchrotron is moving in a circle of radius 1 km and increasing its speed by v(t) = c1 + c2 t2, where c1 = 2.0 × 105 m/s, c2 = 105 m/s3. (a) What is the proton’s total acceleration at t = 5.0 s? (b) At what time does the expression for the velocity become unphysical?

Principles of Physics: A Calculus-Based Text
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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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A proton in a synchrotron is moving in a circle of radius 1 km and increasing its speed by v(t) = c1 + c2 t2, where c1 = 2.0 × 105 m/s, c2 = 105 m/s3. (a) What is the proton’s total acceleration at t = 5.0 s? (b) At what time does the expression for the velocity become unphysical?

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