Wednesday

September 24, 2014

September 24, 2014

Posted by **James** on Friday, May 18, 2012 at 4:43pm.

v0?

(Assume the ball is thrown upward and that up is the positive direction. Use the following as necessary: y and g. )

Someone posted this question before and was given the answer

v= sqrt (v_o)^2 + 9.8y

This answer is apparently wrong.

- Physics -
**bobpursley**, Friday, May 18, 2012 at 5:07pmMaybe it is a reading of the question. If the max height is y, midpoint is y/2

If that is so, then the 9.8 should be -9.8, and the equation is dead on correct.

- Physics -
**Elena**, Friday, May 18, 2012 at 5:52pmThe motion to the highest point (height “H”)

v = vₒ - g•t,

v=0, t = vₒ/g.

H = vₒ•t - g•t²/2 = vₒ• vₒ/g –(g/2) •(vₒ/g)² = vₒ²/2•g.

Velocity at the midpoint (height “h“)

v =vₒ - g•t1,

t1 =(vₒ- v)/g.

h = vₒ•t1 - g•t1²/2 =

=vₒ•(vₒ- v)/g - g•(vₒ- v)²/2•g² =

= [2•vₒ•(vₒ- v) -(vₒ- v)²]/ 2•g =

={2vₒ² - 2vₒ•v - vₒ² +2 vₒ•v - v²}/2•g =

= (vₒ² - v²)/2•g.

h=H/2 = vₒ²/2•2•g.

(vₒ² - v²)/2•g = vₒ²/2•2•g.

vₒ² = 2•v²,

v =vₒ/√2 = vₒ/1.41 =0.707•vₒ

**Answer this Question**

**Related Questions**

Physics - What is the velocity at the midway point of a ball able to reach a ...

Physics - A ball is thrown vertically upward with a speed of 25.0 m/s from a ...

physics - a ball is thrown up and reaches a maximum height of 5 m. a) what is ...

physics - a ball is thrown up with an initial velocity 20m/s. using g=10m/s2, a...

physics - a tennis ball is thrown vertically upward with an initial velocity of...

Physical Science - Four balls are taken to the top of a building. Ball 1 is ...

physics - a ball is thrown at an initial angle of 37 and initial velocity of 23....

physics - a ball is thrown at an initial angle of 37 and initail velocity of 23....

Math - The height(H) of an object that has been dropped or thrown in the air is ...

Math - The height(h) of an object that has been dropped or thrown in the air is...