Let the radius of the circular segment be 105 m, the mass of the car 2011 kg, and the coefficient of the static friction between the road and the tire 0.7. find the magnitude of the normal force n which the road exerts on the car at the optimal speed (the speed at which the frictional force is zero) of 85 km/h. the acceleration due to gravity is 9.8 m/s 2 . answer in units of n.

Asilver dollar is dropped from the top of a building that is 1324 feet tall. use the position function below for free-falling objects. s(t) = −16t2 + v0t + s0 (a) determine the position and velocity functions for the coin. s(t) = v(t) = (b) determine the average velocity on the interval [1, 2]. ft/s (c) find the instantaneous velocities when t = 1 second and t = 2 seconds. v(1) = ft/s v(2) = ft/s (d) find the time required for the coin to reach the ground level. (round your answer to three decimal places.) t = s (e) find the velocity of the coin at impact. (round your answer to three decimal places.) ft/s