Question

1. -/2 points details my notes ask your teacher practice another sercp11 3.3.p.031 suppose a boat moves at 15.2 m/s relative to the water. if the boat is in a river with the current directed east at 2.30 m/s, what is the boats speed relative to the ground when it is heading east, with the current, and west, against the current? (enter your answers in m/s.) hint (a) east with the current m/s (b) west against the current m/s

Explanation:

Step1: Determine speed with the current

When the boat is heading east with the current, we add the boat's speed relative to water and the current speed.
$v_{east}=v_{boat - water}+v_{current}$
$v_{east}=15.2 + 2.30$

Step2: Determine speed against the current

When the boat is heading west against the current, we subtract the current speed from the boat's speed relative to water.
$v_{west}=v_{boat - water}-v_{current}$
$v_{west}=15.2 - 2.30$

Answer:

(a) $17.5$ m/s
(b) $12.9$ m/s