Aball is thrown straight up from the top of a tower that is 280 ft high with an initial velocity of 48 ft/s . the height of the object can be modeled by the equation s(t)=-16t^2+48t+280. in two or more sentences explain how to determine the time the ball is lower than the building in interval notation .

As per the statement:

A ball is thrown straight up from the top of a tower that is 280 ft high with an initial velocity of 48 ft/s .

Given the height of the object can be modeled by the equation:

where, t is the time in sec.

Since, we have the height s(t) = 280 ft

⇒

Subtract 280 from both sides we have;

⇒

⇒

By zero product property we have;

t = 0 and t-3 = 0

⇒t = 0 and t = 3

so, we need 3 second,  after that the ball is lower than the building.

Now, time to reach the ground

Substitute s(t) = 0

or

⇒

⇒t = -2.9441 and t = 5.9441

Since, t cannot be in negative

⇒

so, at time t = 5.9441 sec it reaches ground.

Therefore, Interval where the height  of the ball is lower than the building is,

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

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step-by-step explanation: