Problem 91
The velocity of an object that moves with constant velocity is increased. Does this change the intercept or the slope of the position-time graph of the object's motion? Explain.
Problem 92
Two fish swimming in a river have the following equations of motion: $$ \begin{aligned} &x_{1}=-6.4 \mathrm{~m}+(-1.2 \mathrm{~m} / \mathrm{s}) t \\ &x_{2}=1.3 \mathrm{~m}+(-2.7 \mathrm{~m} / \mathrm{s}) t \end{aligned} $$ Which fish is moving faster?
Problem 93
Two people walking on a sidewalk have the following equations of motion: $$ \begin{aligned} &x_{1}=8.2 \mathrm{~m}+(-1.1 \mathrm{~m} / \mathrm{s}) t \\ &x_{2}=5.9 \mathrm{~m}+(1.7 \mathrm{~m} / \mathrm{s}) t \end{aligned} $$ (a) Which person is moving faster? (b) Which person will be at \(x=0\) at some time in the future?
Problem 96
Consider a rabbit that is at \(x=8.1 \mathrm{~m}\) at \(t=0\) and moves with a constant velocity of \(-1.6 \mathrm{~m} / \mathrm{s}\). What is the equation of motion for the rabbit?
Problem 97
The equation of motion for a person riding a bicycle is \(x=6.0 \mathrm{~m}+(4.5 \mathrm{~m} / \mathrm{s}) t\). (a) Where is the bike at \(t=2.0 \mathrm{~s}\) ? (b) At what time is the bike at the location \(x=24 \mathrm{~m}\) ?
Problem 98
The equation of motion for a float in a parade is \(x=-9.2 \mathrm{~m}+(1.5 \mathrm{~m} / \mathrm{s}) t\). (a) Where is the float at \(t=3.5 \mathrm{~s}\) ? (b) At what time is the float at \(x=0\) ?
Problem 99
Cleo the black lab runs to pick up a stick on the ground at the location \(x=3.0 \mathrm{~m}\). The equation of motion for Cleo is \(x=-12.1 \mathrm{~m}+(5.2 \mathrm{~m} / \mathrm{s})\) t. (a) Where is Cleo at \(t=1.6 \mathrm{~s}\) ? (b) At what time does Cleo reach the stick?
Problem 100
Two football players move in a straight line directly toward one another. Their equations of motion are as follows: $$ \begin{aligned} &x_{1}=0.1 \mathrm{~m}+(-3.1 \mathrm{~m} / \mathrm{s}) t \\ &x_{2}=-6.3 \mathrm{~m}+(2.8 \mathrm{~m} / \mathrm{s}) t \end{aligned} $$ (a) Which player is moving faster? (b) At what time do the players collide?
Problem 101
A soccer ball rests on the field at the location \(x=5.0 \mathrm{~m}\). Two players run along the same straight line toward the ball. Their equations of motion are as follows: $$ \begin{aligned} &x_{1}=-8.2 \mathrm{~m}+(4.2 \mathrm{~m} / \mathrm{s}) t \\ &x_{2}=-7.3 \mathrm{~m}+(3.9 \mathrm{~m} / \mathrm{s}) t \end{aligned} $$ (a) Which player is closer to the ball at \(t=0\) ? (b) At what time does one player pass the other player? (c) What is the location of the players when one passes the other?
Problem 102
A golf cart moves with a velocity of \(8 \mathrm{~m} / \mathrm{s}\). Is the displacement of the golf cart from \(t=0\) to \(t=5 \mathrm{~s}\) greater than, less than, or equal to its displacement from \(t=5 \mathrm{~s}\) to \(t=10 \mathrm{~s}\) ? Explain.
