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use the position function s(t) = -49t^2 + 800, which gives the hieght (in meters) of an object that has fallen for t seconds from a height of 800 meters. The velocity oat time t = a seconds is given by the following

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Answer:

v =-98t at t seconds

Step-by-step explanation:

given that the position function

[tex]s(t) = -49t^2 + 800[/tex]

gives the hieght (in meters) of an object that has fallen for t seconds from a height of 800 meters

To find out the velocity at time t.

Velocity is nothing but rate of change of position

In other words, velocity is the derivative of position function.

So to find out velocity at time t, we differentiate the position function.

[tex]s'(t) = -49(2t) \\v(t) = -98t[/tex]

Velocity function is

v = -98t, at t seconds.

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