Another of Queen Bey's many talents is cross-country road racing.  During one of these races, her distance D, in miles, from the starting line t hours after the race begins is given by the following formula: D(t)=150⋅ln(1+t) Fill in the blanks in the sentences below: After 30 minutes, Queen Bey's instantaneous velocity is ______    ____per____ After 30 minutes, Queen Bey's instantaneous acceleration is ______ miles/(hour)^2 Please show work! Thank you.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.