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Tyra launches a rocket in the air, and her physics teacher told her if h is height and t is time, she can find the height of the rocket at any given time using: h(t)= -16t^2+50t

Interpret the meaning of the point (3.125,0) in terms of the problem situation


Sagot :

The points ( 3. 125, 0) represents the time intervals for which the rocket reaches a height of - 312. 5 feet

How to determine the value

Given the function;

h(t)= -16t^2+50t

Where;

  • h is the height of the rocket
  • t is the time taken to reach the height

The time interval to reach the height of the rocket is ( 3. 125 , 0)

Time interval, t = 0 - 3. 125

Time interval, t = -3. 125

Substitute the value into the formula

h(t) = - 16(-3. 125)² + 50(-3. 125)

h(t) = -16(9. 765) - 156. 25

h(t) = - 156. 25 -  156. 25

h(t) = -312. 5 feet

Thus, the points ( 3. 125, 0) represents the time intervals for which the rocket reaches a height of - 312. 5 feet

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