Suppose that a particle following the given path c(t)=(t2,t3−3t,0)c(t)=(t2,t3−3t,0) flies off on a tangent at t0=2t0=2. compute the position of the particle at the given time t1=3t1=3. (use symbolic notation and fractions where needed. )

The first-order reaction a→2b+c has rate constant 0.538 s−1. if the initial concentration of a is 0.867 mol l−1, what is the half-life of the reaction in seconds? remember to use correct significant figures in your answer (round your answer to the nearest hundredth). do not include units in your response.