1.Assuming a constant rate of acceleration due to gravity of 32 feet per second per

second, findnd 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.