A (t=0), a particle of mass (1.2 mathrm{~kg}) is traveling with a speed of (10 mathrm{~m} /
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A \(t=0\), a particle of mass \(1.2 \mathrm{~kg}\) is traveling with a speed of \(10 \mathrm{~m} / \mathrm{s} \mathrm{that} \mathrm{is}\) increasing at a rate of \(0.5 \mathrm{~m} / \mathrm{s}^{2}\). The local radius of curvature at this instant is \(50 \mathrm{~m}\). After the particle travels \(100 \mathrm{~m}\), the radius of curvature of the particle's path is \(50 \mathrm{~m}\).
(a) What is the speed of the particle after it travels \(100 \mathrm{~m}\) ?
(b) What is the magnitude of the particle's acceleration after it travels \(100 \mathrm{~m}\) ?
(c) How long does it take the particle to travel \(100 \mathrm{~m}\) ?
(d) What is the external force acting on the particle after it travels \(100 \mathrm{~m}\) ?
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