## anonymous 5 years ago in a cricket match the batsman is ata point O and he hits the ball with velocity (7i + 24j) m/s. a fielder at point A position vector 2i + 3j relative to O, does not move at all as the ball passes by. assuming the ball suffers no change in velocity:

1. anonymous

what's the question?

2. anonymous

find the least distance between the fielder at point A and the ball during is journey to the boundary...

3. anonymous

umm sorry i dont have any idea because we dont know the time the velocity is $\sqrt{7^{2}+24^{2}}=25$ i dont have any idea whats the next step

4. anonymous

part a of the wuestion said how long will the ball take to reach the boundary, 60 m from O. i got 2.4 seconds? help anymore?

5. anonymous

question

6. anonymous

if the boundary is 60m from 0 then t = 60/25 = 2.4

7. nikvist

$l^2=(7t-2)^2+(24t-3)^2$ $2l\frac{dl}{dt}=14(7t-2)+48(24t-3)=0$ $98t-28+1152t-144=0$ $1250t=172$ $t=0.1376s$ $l_{min}=\sqrt{(7\cdot 0.1376-2)^2+(24\cdot 0.1376-3)^2}$ $l_{min}=1.08m$

8. anonymous

how did you get l^2=(7t−2)^2+(24t−3)^2 ?

9. nikvist

least distance between two point (7t,24t) and (2,3)