#### Thank you for registering.

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

Click to Chat

1800-1023-196

+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

# Two ships are 10km apart on a line running south to north. The one faster north is streaming west at 40km/hr . The other is streaming north at 40km/he. What is their distance of closet approach and how long do they to reach it?

Eshan
2 years ago
Dear student,

Relative velocity of second ship with respect to first one is$\dpi{80} 40\sqrt{2}km/hr$towards north-east.

Hence from geometry, the distance of closes approach=$\dpi{80} \dfrac{1}{2}\dfrac{d}{cos45^{\circ}}=\dfrac{d}{\sqrt{2}}=5\sqrt{2}m$

Time taken by the ship to cover this distance=$\dpi{80} \dfrac{d/\sqrt{2}}{v_{rel}}=\dfrac{5\sqrt{2}}{40\sqrt{2}}hr=0.125hr$