7) An object in free fall has its distance from the ground measured by the function d(t) = -4.9t² + 50, where d is in meters and t is in seconds. If gravity is the only acceleration affecting the object, what is gravity's constant value (include units in your answer)?

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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7) An object in free fall has its distance from the ground measured by the function d(t) = -4.9t2 + 50,
where d is in meters and t is in seconds. If gravity is the only acceleration affecting the object, what is
gravity's constant value (include units in your answer)?
8) The graph of y = f (x) is shown below on the domain [0, 5]. Sketch the graph of y = f"(x) on the same
%D
domain.
f (x).
Transcribed Image Text:7) An object in free fall has its distance from the ground measured by the function d(t) = -4.9t2 + 50, where d is in meters and t is in seconds. If gravity is the only acceleration affecting the object, what is gravity's constant value (include units in your answer)? 8) The graph of y = f (x) is shown below on the domain [0, 5]. Sketch the graph of y = f"(x) on the same %D domain. f (x).
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Question-7

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the given equation is 

d\left(t\right)=-4.9t^2+50

an object body is falling freely for time t seconds with initial velocity v0, from an initial height h0, due to gravity g.

It will follow the following equations of motion as

d(t)=-\frac{1}{2}gt^2+v_0t+s_0

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