- #1
disruptors
- 17
- 1
an object launched vertically upward with an initial speed v. Neglect air resistance
a)At what height h above the ground does the projectile have a speed of 0.5v? Express your answer in terms of v and the magnitude of the acceleration of gravity g.
Using conservation of energy i found the max height (hmax) to be v^2/(2*g)
i then came to find h at a speed at 0.5v to be (v^2/(2*g))/4. However it says i am off by a multiplicative factor. I tried to take in account the KE and PE but am confused...
b) A ball is launched as a projectile with initial speed v at an angle (theta) above the horizontal. Using conservation of energy, find the maximum height (hmax) of the ball's flight. Express your answer in terms of v, g, and theta
i thought it would be v^2/(2*g) and its not which makes me wonder why?
thanks
a)At what height h above the ground does the projectile have a speed of 0.5v? Express your answer in terms of v and the magnitude of the acceleration of gravity g.
Using conservation of energy i found the max height (hmax) to be v^2/(2*g)
i then came to find h at a speed at 0.5v to be (v^2/(2*g))/4. However it says i am off by a multiplicative factor. I tried to take in account the KE and PE but am confused...
b) A ball is launched as a projectile with initial speed v at an angle (theta) above the horizontal. Using conservation of energy, find the maximum height (hmax) of the ball's flight. Express your answer in terms of v, g, and theta
i thought it would be v^2/(2*g) and its not which makes me wonder why?
thanks