Calculate Initial Velocity for Projectile Launch | Solve for Time and Velocity

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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.
 
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