a swimmer swims perpendicular to the bank of a 30.0 m wide river at a velocity of 2 m/s. suppose the river…
a swimmer swims perpendicular to the bank of a 30.0 m wide river at a velocity of 2 m/s. suppose the river has a current of 3m/s w. (a) how long does it take the swimmer to reach the other shore? (b) how far downstream does the swimmer land from his intended location?
Answer
Explanation:
Step1: Calculate time to cross river
The swimmer's velocity perpendicular to the bank (v_y = 2\ m/s), and the width of the river (d = 30.0\ m). Using the formula (t=\frac{d}{v_y}). [t=\frac{30.0}{2}=15\ s]
Step2: Calculate distance downstream
The river current velocity (v_x = 3\ m/s), and the time (t = 15\ s). Using the formula (x = v_x\times t). [x=3\times15 = 45\ m]
Answer:
(a) (15\ s) (b) (45\ m)