Question

is moving at a steady speed and is currently at kilometer 0. completetermine the cyclists position at various times. -6 -4 -2 0 2 (minutes) 4 -2 -4 0 4 (km) aluate an expression for the position of the cyclist at each tim -10 minutes

Explanation:

Step1: Find the speed

The speed $v$ of the cyclist can be found using the formula $v=\frac{\Delta d}{\Delta t}$. Taking two points, say $(t_1 = - 4,d_1=-2)$ and $(t_2 = 0,d_2 = 0)$. Then $v=\frac{0 - (-2)}{0-(-4)}=\frac{2}{4}=0.5$ km/min.

Step2: Find the position at - 10 minutes

We use the linear - motion formula $d=d_0+v\times t$. Here $d_0 = 0$ (starting at kilometer 0), $v = 0.5$ km/min and $t=-10$ minutes. So $d=0+0.5\times(-10)=-5$ km.

Answer:

• 5 km