7. Physics: A baseball is thrown directly upward with initial velocity of 75 ft/sec from an initial height of 30 ft. The velocity of the baseball is given by: v(t) = -32t+.75, where t is the number of seconds since the ball was released and v is in ft/sec. c) After how many seconds does the ball reach its highest point? (hint: the ball "stops" for a moment before falling downward, v(t) = 0) d) How high does the ball get at its highest point? (the highest point would be where the ball starts to fall downward, your solution to c) e) After how many seconds will the ball hit the ground? (the ball will hit ground when the height h(t) = 0) What is the balls velocity at the moment it hits the ground? (from e you found the time t when the ball hits

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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.