Posted by **candice** on Sunday, July 15, 2012 at 1:35am.

A batsman hits a cricket ball 'off his toes' towards a fieldsman who is 65 m away. The ball reaches a maximum height of 4.9 m and the horizontal compoenent of its velocity is 28 m/s. Find the constant speed with which the fieldsman must run forward, starting at the instant the ball is hit, in order to catch the ball at a height of 1.3m above the ground. (Use g = 9.8)

Thanks in advance :)

- math -
**Steve**, Sunday, July 15, 2012 at 1:05pm
At the maximum height of 4.9m, the ball has risen for 1 sec. (That's the amount of time it takes to fall from 1m height to 0.)

So, v = 9.8-9.8t

h = -4.9t^2 + 9.8t since h(0) = 0

at t=1.857 sec, h = 1.3, x=52 m

So, the fielder must run 65-52 = 13m in 1.857sec, or 7m/s

(assuming he doesn't extend his arm too far to grab the ball!)

## Answer This Question

## Related Questions

- Math - A batsman hits a cricket ball 'off his toes' towards a fieldsman who is ...
- Physics - A ball is shot from the ground into the air. At a height of 9.1 m, the...
- math - If a ball is thrown vertically upward from the roof of 32 foot building ...
- calculus - If a ball is thrown vertically upward from the roof of 64 foot ...
- Calculus - If a ball is thrown vertically upward from the roof of 32 foot ...
- calculas - If a ball is thrown vertically upward from the roof of 48 foot ...
- Math Calc - If a ball is thrown vertically upward from the roof of 48 foot ...
- Physics - 2. A golf ball is hit off the tee with an initial speed of 32 m/s at ...
- basic chemistry(projectile) - A ball of mass 400g is thrown with an initial ...
- Calculus Help - If a ball is thrown vertically upward from the roof of 64 foot ...

More Related Questions