Question

A stone is projected horizontally with a velocity 9.8 ms⁻¹ from a tower of height 100m. It's velocity one second after projection is
1) 9.8 ms⁻¹
2) 4.9 ms⁻¹
3) 9.8√2 ms⁻¹
4) 4.9√2 ms⁻¹
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Answer 1

Answer:

Option 3

for projectile at some height you will have to break the velocity into two components-

horizontal and vertical

The horizontal component is the initial velocity imparted;ie-9.8m/s.this component will remain unchanged throughout

for vertical component the flight has just started

taking zero as the initial vertical velocity and gravity as the net acceleration downwards,the vertical component of velocity tends to increase at the rate of 9.8 m/s.

so after one second-

horizontal velocity-9.8m/s

vertical velocity-9.8m/s

Squaring and adding this we get

2 ×9.8m/s as final answer