Home
Class 11
PHYSICS
Airplanes A and B are flying with consta...

Airplanes `A` and `B` are flying with constant velocity in the same vertical plane at angles `30^(@)` and `60^(@)` with respect to the horizontal respectively as shown in figure . The speed of `A` is `100sqrt(3) m//s`. At time `t = 0 s`, an observer in `A` finds `B` at a distance of `500 m`. The observer sees `B` moving with a constant velocity perpendicular to the line of motion of `A` . If at `t = t_(0)`, `A` just escapes being hit by `B ,t_(0)` in seconds is

A

3s

B

5s

C

2s

D

1s

Text Solution

Verified by Experts

The correct Answer is:
B
The relative velocity of B with respect to A is perpendicular to the line of motion of A.
`:.v_(B)cos30^(@)=v_(A)`
`v_(B)=(v_(A))/(cos30^(@))=(100sqrt(3))/(sqrt(3)//2)=200ms^(-1)`
`:.t_(0)=(500)/(v_(B)sin30^(@))=(500)/(200xx(1)/(2))=5s`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    NCERT FINGERTIPS|Exercise NCERT Exemplar|10 Videos

  • MOTION IN A PLANE

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

  • MOTION IN A PLANE

    NCERT FINGERTIPS|Exercise Miscellaneous Questions|14 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

  • MOTION IN A STRAIGHT LINE

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

Similar Questions

Explore conceptually related problems

Airplanes A and B are flying with constant velocity in the same vertical plane at angles 30^(@) and 60^(@) with respect to the horizontal respectively as shown in figure . The speed of A is 100sqrt(3) m//s . At time t = 0 s , an observer in A finds B at a distance of 500 m . The observer sees B moving with a constant velocity perpendicular to the line of motion of A . If at t = t_(0) , A just escapes being hit by B ,t_(0) , A just escapes being hit by B , t_(0) in seconds is

An observer A is at rest in gournd frame, observer B is moving with constant another observer C is moving with constant velocity of 1m/s.

Two particles are projected simultaneously with same speed V_0 in same vertical plane at angle 30^@ and 60^@ With the horizontal .The time at which their velocities becomes parallel is

A and B are moving with the same speed 10m/s in the direction E-30^(@)-N and E-30^(@)-S respectively. Find the relative velocity of A w.r.t. B.

A small ball falling vertically downward with constant velocity 2 m//s strikes elastically an inclined plane moving with velocity 2 m//s as shown in figure. The velocity of rebound of the ball with respect ground is

A small ball falling vertically downward with constant velocity 4m//s strikes elastically a massive inclined cart moving with velocity 4m//s horizontally as shown. The velocity of the rebound of the ball is

A boat B is moving in upstream with velocity 3 m//s with respect to ground. An observer standing on boat obsserves that a swimmer S is crossing the river perpendicular to the direction of motion of boat. If river flow velocity is 4 m//s and swinner crosses the river of width 100m in 50 sec, then

A boat 'B' is moving upstream with velocity 3m//s with respect to ground. An observer standing on the boat observes that a swimmer 'S' is crossing the river perpendicular to the direction of motion of the boat. If river flow velocity is 4m//s and swimmer crosses the river of width 100,m is 50s . Then

Two particles A and B separated by 10 m at time t = 0 are moving uniformly. A is moving along line AB at a constant velocity of 4 m//s and B is moving perpendicular to the velocity of A at a constant velocity of 5 m//s . After what time the two particles will be nearest to each other?