Posted by **Fifi** on Wednesday, April 10, 2013 at 12:44pm.

Venus is a grade 12 learner and she claims that she can shoot a stone 50m vertically high by using a catapult.She wants to know the relationship between the height reached by the stone and the initial velocity of it.

- physics -
**Steve**, Wednesday, April 10, 2013 at 1:02pm
Assuming the stone is to be hurled vertically with velocity v,

h(t) = vt - 4.9t^2

h will reach maximum height at t=v/9.8 seconds. So, the max height H is

H(v) = v(v/9.8) - 9.8/2 * (v/9.8)^2

= v^2/9.8 - (v^2/9.8)/2

= v^2/19.6

## Answer this Question

## Related Questions

- M.H.S - Marry claims that she can shoot a stone 50m vertically high using ...
- physics - A stone with mass m = 2.3 kg is thrown vertically upward into the air ...
- Physics - A stone is shot vertically upwards using a catapult and is caught 6 ...
- Dynamics - A stone is thrown vertically upward from the top of a 30m high ...
- Dynamics - A stone is thrown vertically upward from the top of a 30m high ...
- Physics - A slingshot with k = 400. N/m is pulled back 0.0500 m to shoot a 0.100...
- Physics - A slingshot with k = 400. N/m is pulled back 0.0500 m to shoot a 0.100...
- physics - A stone is projected vertically upward with a speed of 30m/s from the ...
- physics - The potential energy of a catapult was completely converted into ...
- 9th grade - a stone propelled from a catapult with a speed of 50m/s attains a ...