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SpiraRoam
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Homework Statement
Andy Roberts the former West Indian Cricket player and Fast Bowler, bowled his fastest delivery in 1975 at 159.5 km/h. Neglecting air resistance, calculate the maximum distance he could have thrown the ball at this speed (on earth!) had he been able to throw it:
i) Vertically upwards from the cricket field
ii) Horizontally across the cricket field.
Homework Equations
s=ut+1/2at^2
v=u + at (rearranged for a and t)
distance = speed x time
The Attempt at a Solution
I'm pretty confused with this problem - I'm used to a couple of values being given with equations of motion and projectiles. I was wondering whether to find the acceleration of the ball or to just assume that it's constant? The value given is a velocity with it having a direction (horizontal / vertical) making it a vector right?
I'm not sure whether the velocity stays constant throughout either? If it's being thrown the maximum distance then it's bound to lose velocity as time progresses. How am I to calculate this for the final velocity and how would this impact on the time?
Converting the 159.5 km/h to metres per second gives 44.31 m/s. This will be the initial velocity but how to find the acceleration and time values? I'm sure gravity comes into it for the horizontal as well as vertical directions and I imagine the ball won't be airborne for more than 3-5 seconds or so but how to calculate the certainty?
I was looking into using a speed - time graph and finding distance from the area underneath but again there aren't enough values given and I don't know how to derive them.
Thanks
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