To kick a football, we will require an initial velocity in the vertical direction as well which is not the case here. In this case, the vertical displacement would occur according to y = 1/2at^2 which is an upward parabolic curve
So I need to find a resultant value in the latter approach as well considering the unchanged component of velocity too?
Can we avoid roots by any other means, any other method?
You can first use R = ucosθ*t and substitute the value of R and θ. You will get somewhere around 11.75 as the product of u*t
Now, you can use the equation S = usinθt - 1/2gt^2 and substitute the values of S (-3.3, as per the sign convention), θ and u*t. This will give you the time of flight(t)...
My initial approach to this question was breaking the components of acceleration in the x and y axes and applying the three equations of motion to find the final velocity as well as the final position. As we were expected to find the net final velocity of the particle, I found the resultant of...