A ball is projected in air with velocity v = ( 40î + 40j ) m/s . where i and j are the unit vector along horizontal and vertical axis . The horizontal distance it covers in 4s after the Start of motion is ?
options
1. 160m
2. 30
3. 20
4. 10
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Answer: should be 160m
Explanation:
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Given:
A ball is projected in air with velocity v = ( 40î + 40j ) m/s .
To find:
Horizontal distance travelled in 4 seconds?
Calculation:
- We know that : Along the X axis, a projectile doesn't experience any acceleration and hence, the horizontal component of velocity remains constant.
- However, acceleration is experienced along Y axis equal to 9.8 m/s². However this acceleration is of no use in this question.
Distance along X axis :
So, distance travelled along X axis is 160 metres.
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