Posted by **steve Alexander** on Friday, October 24, 2008 at 7:10pm.

i just want to know form where i got on this formula the 4.9tē on this formula s=4.9tē+Vot+h because the book only say that a physics theory shows that when an object is thrown upward with an initial velocity Vo, its approximate height is given by that quadratic function

i will appreciate if you can explain me that because i have a math problem that uses that equation but i dont know from wheres that 4.9tē

- math and physics -
**bobpursley**, Friday, October 24, 2008 at 7:17pm
It comes from calculus, and I assume you do not know that.

Newton found the velocity of a falling object was proportional to the time it fell.

vincreased= constant*time

but the constant we now call g, 9.8m/s^2, which comes from his universal gravitational equation.

From this, we get

Vfinal=vinitial+ g*time

Now the distance something falls is the average velocity, times time.

distance=(vfinal+vinitial)/2 * time

d=(1/2 (vinital+ g*time + vinitial)*time

= 1/2 (2vinitial*time + g*time^2)

= vinitial*time + 1/2 g*time^2

of course, 1/2 g = 4.9 m/s^2

## Answer this Question

## Related Questions

- Math - The acceleration of an object g = -9.8 m/s^2. From the top of a building ...
- College Math - Another question which is confusing. The position of an object ...
- Physics-Please help with formula - If I have an electric field around a charged ...
- AP Physics - Hello I was trying to find the proof of the formula x = x0 + v0t +....
- algebra - Use the formula 4.9t^2 +vot=s, where t is the time in seconds, vo is ...
- Physics (Formula) - I just need the formula. A 2.5 kg object is whirled in a ...
- help riemann sums - the expression 1/50 (1/50 +2/50+ 3/50+ .....50/50)is a ...
- physics - A 25 kg object accelerates from rest to a 0.45 m/s in 1.3 seconds. If ...
- Physics - The mass of the object was 8 kilograms. The object was acted on by a ...
- physics - An object moves with simple harmonic motion of amplitude A and period ...