Find Velocity of Ball After 3 Seconds

AI Thread Summary
A ball projected horizontally from a cliff with an initial speed U experiences vertical acceleration due to gravity, which is assumed to be 10 m/s². After 3 seconds, the vertical velocity is calculated to be approximately 5.88 m/s. The horizontal velocity remains constant since there are no horizontal forces acting on the ball. By applying the Pythagorean theorem to combine the horizontal and vertical components, the resultant velocity is found to be 50 m/s. The initial horizontal speed U is determined to be approximately 40.44 m/s.
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Homework Statement


A ball is projected horizontally from the top oF A CLIFF WOTH SPEED U. iF AIR RESISTANCE IS NEGLECTED AND G IS ASSUMED to be 10 ms-2, the velocity of the ball is found to be 50ms-2, 3 seconds later. What is the value of u

Homework Equations


s=ut+1/2at2
s=vt
v2=u2+2as
v=u+at

The Attempt at a Solution


well the problem is i do not know to use which components either x or y
if i use x, but in projectile motion and Newton 1st law, the speed of x will not change as there is no other force to push or pull the ball
however, usually we use the initial speed for x only, and for y is 0
so how X.X
 
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well no1 can solve it ? ==
 
Ball moves horizontally without any change in its velocity U
Ball falls vertically withe zero initial velocity.
What is its velocity V in the vertical direction after 3 seconds?
U and v are perpendicular to each other.
What is the resultant of these two velocities?
Equate this resultant velocity to 50 ms^-1. , and find U
 
well this is what i have done
v=u+at
v=0+(9.8)x(3)
v=\frac{147}{5}
using Pythagorus theorem,
a2+b2=c2
(\frac{147}{5})2+b2=502
so the b=40.44
yep i got the answer thanks so much
 
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