# Find the horizontal and vertical components of the velocity of: a ball which is released out of the window of a plane which is traveling horizontally with a speed of 100 km/hr and of a cat which...

Find the horizontal and vertical components of the velocity of:

a ball which is released out of the window of a plane which is traveling horizontally with a speed of 100 km/hr and of a cat which jumps out of the back of a truck at an angle of 30 degrees above horizontal with a velocity of 5m/s relative to the truck and the truck is moving at 40km/hr

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### 1 Answer

1. The ball released from the window of a plane travelling horizontal with a speed of 100 km/hr:

As the ball is released and NOT thrown downwards, therefore it will have no effect on the horizontal or vertical components of the ball speed.

**Horizontal component of velocity of ball** = horizontal velocity of plane *Vertical component of velo is 100 km/hr*

**Vertical component of velocity of the ball = 0 km/hr**

2. Speed of truck =40 km/hr. The cat jumps from the back with a speed of 5 m/s relative to the truck at an angle of 30 degrees above horizontal.

As the cat jumps from te back of the truck so* its direction is opposite to the direction of truck - assumed. *Further it jumps up so *its direction is upwards.*

The speed of turck = 40 km/hr = 40*1000/3600 = 11.11 m/s

*The horizontal component* * of cats velocity = 11-5*cos(30)= 11.11-4.33 = 6.78 m/s in the direction of truck*.

*This means the cat will roll back on hitting the ground as it is moving in the direction of the truck with face to the truck's back.*

**The vertical component of the cats velocity **= 5.sin(30) **= 2.5 m/s in the upwards direction.**