Quick - an object is dropped from a tower, 159 ft above the ground. the object's height above ground t sec into the fall is s =159−16t^2. a. what is the object's velocity, speed, and acceleration at time t? b. about how long does it take the object to hit the ground? c. what is the object's velocity at the moment of impact?

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?