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The following equation shows
h, the height in meters above the ground of a football
t seconds after a particular kick.

h=0.3+5.5 t-4.9t^(2)
What was the height of the football in meters at the moment of the kick?

The following equation shows $h$ , the height in meters above the ground of a football $t$ seconds after a particular kick. $\newline$ $h=0.3+5.5 t-4.9 t^{2}$ $\newline$ What was the height of the football in meters at the moment of the kick?

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Evaluate a linear function: word problems

Full solution

Q. The following equation shows

h

, the height in meters above the ground of a football

t

seconds after a particular kick.

\newline

h=0.3+5.5 t-4.9 t^{2}

\newline

What was the height of the football in meters at the moment of the kick?

Identify the moment of the kick: Identify the moment of the kick in terms of the variable $t$ . The moment of the kick corresponds to the time $t = 0$ seconds.
Substitute $t = 0$ into the equation: Substitute $t = 0$ into the equation $h = 0.3 + 5.5t - 4.9t^{2}$ to find the height $h$ at the moment of the kick.
Perform the substitution: Perform the substitution: $h = 0.3 + 5.5(0) - 4.9(0)^{2}$ .
Simplify the equation: Simplify the equation by performing the operations. Since $5.5(0) = 0$ and $4.9(0)^{2} = 0$ , the equation simplifies to $h = 0.3$ .
Conclude the height at the moment of the kick: Conclude that the height of the football at the moment of the kick was $0.3$ meters.

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