1.Assuming a constant rate of acceleration due to gravity of 32 feet per second per second, find the initial velocity needed to launch a projectile from the surface of the earth to a height of 900 feet. 2. Suppose that the probability distribution function for customers waiting to be seated at a certain restaurant on a certain evening has the form f(t) = ce^-ct for t > 0, where c = 1/10 is the reciprocal of the average waiting time in minutes. Find the time T such that exactly 5% of customers wait longer than T minutes to be seated. Round your answer to the nearest minute.