A stone is thrown horizontally with tower .in 0.5 sec after the stone began to move the numerical value of its velocity was 1.5 times its initial velocity. find initial velocity
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So, as the body was projected horizontally,
Ux = v
Uy=0
(Assuming the initial velocity to be v)
Consider x and y to be standard coordinate axes
Now, there is no acceleration in the x direction, so x component of velocity will remain same throughout the flight
But y component has force of gravity so, it will result in velocity increase
Now,
After 0.5 sec,
Ux=v
For y component,
v=u+ at
a=-10m/s²
So,
v= 0 -10 ×0.5
v=-5 (-ve due to considering the sign conventions)
Vy= 5m/s
Now,
the velocity after 0.5 sec is 1.5 times the initial velocity
So,
Vnet=1.5v
So,
Vnet=√(Vx² +Vy²)
(Law of vector addition)
1.5v=√(25+ v²)
2.25v² - v² = 25
v²=20
v=4.47 m/s
So, the initial velocity was 4.47 m/s
Ux = v
Uy=0
(Assuming the initial velocity to be v)
Consider x and y to be standard coordinate axes
Now, there is no acceleration in the x direction, so x component of velocity will remain same throughout the flight
But y component has force of gravity so, it will result in velocity increase
Now,
After 0.5 sec,
Ux=v
For y component,
v=u+ at
a=-10m/s²
So,
v= 0 -10 ×0.5
v=-5 (-ve due to considering the sign conventions)
Vy= 5m/s
Now,
the velocity after 0.5 sec is 1.5 times the initial velocity
So,
Vnet=1.5v
So,
Vnet=√(Vx² +Vy²)
(Law of vector addition)
1.5v=√(25+ v²)
2.25v² - v² = 25
v²=20
v=4.47 m/s
So, the initial velocity was 4.47 m/s
JinKazama1:
Nice, ::) I completely ignored x -direction in my answer.
Answered by
6
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