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A baseball player hits a home run. A spectator observes the trajectory of the ball and expresses the height of the ball using the equation s(t)= -(t-15) + 225. Calculate the instantaneous velocity of the ball at t=4 seconds where the distance is measured in meters.

A. 44 m/sec
B. 30 m/sec
C. 26 m/sec
D. 22 m/sec

Respuesta :

Cricetus

Answer:

The appropriate solution is Option D (22 m/sec).

Step-by-step explanation:

The given equation is:

[tex]s(t)= -(t-15)^2 + 225[/tex]

Now,  

The instantaneous velocity at t = 4 will be:

= [tex][-2(t-15)(1)+0][/tex]

= [tex]-2(4-15)[/tex]

= [tex]-2\times (-11)[/tex]

= [tex]22 \ m/sec[/tex]

Thus, the above is the correct option.

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