the height y and horizontal distance x covered by a projectile in a time t seconds are given by equations y = 8t - 5t^2 and x = 6t .If x and y are in metres ,the velocity of projection is?
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ganeshie8 (ganeshie8):
y = 8t - 5t^2
compare this with
y = u*t - 1/2 g t^2
ganeshie8 (ganeshie8):
Can we say the vertical velocity, u = 8 ?
OpenStudy (aaronandyson):
yes...
OpenStudy (aaronandyson):
@ganeshie8
ganeshie8 (ganeshie8):
The horizontal motion was given by
x = 6t
Could you eyeball the horizontal velocity from above ?
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OpenStudy (aaronandyson):
|dw:1469977745199:dw|
ganeshie8 (ganeshie8):
Haha that is funny. You may use the relation :
distance = speed*time
OpenStudy (aaronandyson):
You said "eyeball" so I thought youre asking me to draw a diagram haha
OpenStudy (aaronandyson):
speed = 6 then?
ganeshie8 (ganeshie8):
Horizontal speed would be 6
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ganeshie8 (ganeshie8):
Vertical speed = 8
ganeshie8 (ganeshie8):
|dw:1469977942190:dw|
OpenStudy (aaronandyson):
10?
ganeshie8 (ganeshie8):
Find the hypotenuse to get the actual speed.
ganeshie8 (ganeshie8):
Yep!
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OpenStudy (aaronandyson):
Thanks!
Can you help me with a few more questions?