By faraday’s law, if a conducting wire of length ℓ meters moves at velocity v m/s perpendicular to a magnetic field of strength b (in teslas), a voltage of size v = − b ℓ v is induced in the wire. assume that b = 2 and ℓ = 0.5 . calculate dv / dv . find the rate of change of v with respect to time t if v ( t ) = 4 t + 9

An astronaut on the moon throws a baseball upward. the astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 3030 ft per sec. the height s of the ball in feet is given by the equation s equals negative 2.7 t squared plus 30 t plus 6.5s=−2.7t2+30t+6.5, where t is the number of seconds after the ball was thrown. complete parts a and b.