Question

suppose a particle moves along a straight line. the position at time t is given by ( s(t)=7t - 2t^{2},tgeq0 ), where t is measured in seconds and ( s(t) ) is measured in meters. complete parts (a) - (d) below. (a) graph ( s(t) ) for ( tgeq0 ). use the graphing tool to graph the position function. (b) use the graph in part (a) to answer the following questions: (i) where is the particle at time 0? at ( t = 0 ), the particle is at ( s(0)=square ). (an integer or a fraction.)

Explanation:

Step1: Substitute \(t = 0\) into the position function

Given \(s(t)=7t - 2t^{2}\), substitute \(t = 0\)

$$
LATEXBLOCK0
$$

Step2: Simplify the expression

$$
LATEXBLOCK1
$$

Answer:

\(0\)