Find Velocity of Ball After 3 Seconds

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Homework Help Overview

The problem involves a ball projected horizontally from a cliff, with the goal of determining the initial horizontal velocity given the vertical motion after 3 seconds. The context includes projectile motion and the effects of gravity, with air resistance neglected.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of horizontal and vertical components of motion, questioning how to apply the equations of motion correctly. There is confusion about which components to use and how they interact in projectile motion.

Discussion Status

Some participants have provided insights into the relationship between horizontal and vertical velocities, suggesting the use of the Pythagorean theorem to find the resultant velocity. However, there is no explicit consensus on the approach, and the discussion remains open with various interpretations being explored.

Contextual Notes

Participants are working under the assumption that air resistance is negligible and that gravity is constant at 10 m/s². There is also mention of the initial conditions and the need to clarify the setup of the problem.

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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
 
Last edited:
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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=[tex]\frac{147}{5}[/tex]
using Pythagorus theorem,
a2+b2=c2
([tex]\frac{147}{5}[/tex])2+b2=502
so the b=40.44
yep i got the answer thanks so much
 

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