#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-5470-145

+91 7353221155

CART 0

• 0
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

# 3 A sailboat is traveling north at 10 km/h, relative to the water. The water is flowing west at 5 km/h, parallel to the shore. What is the velocity of the sailboat relative to ground, and what is the angle of travel that the sailboat makes with respect to the shore?

Arun Kumar IIT Delhi
7 years ago
$North=\vec j \\East=\vec i \\v_{boat,rel}=10j \\v_{water}=-5\vec i \\v_{boat}=10\vec j-5\vec i$
for angle take the dot product of above two
$cos(\theta)=\vec v_{boat}.\vec v_{water}/(|\vec v_{boat}|.|\vec v_{water}|)$

Arun Kumar
IIT Delhi