Compute first for the vertical motion, the formula is:
y = gt²/2
0.810 m = (9.81 m/s²)(t)²/2
t = 0.4064 s
whereas the horizontal motion is computed by:
x = (vx)t
4.65 m = (vx)(0.4064 s)
4.65 m/ 0.4064s = (vx)
(vx) = 11.44 m / s
So look for the final vertical speed.
(vy) = gt
(vy) = (9.81 m/s²)(0.4064 s)
(vy) = 3.99 m/s
speed with which it hit the ground:
v = sqrt[(vx)² + (vy)²]
v = sqrt[(11.44 m/s)² + (3.99 m/s)²]
v = 12.12 m / s
Answer:
has units of distance
has units of distance over time
has units of distance over ![time^2](https://tex.z-dn.net/?f=time%5E2)
has units of distance over ![time^3](https://tex.z-dn.net/?f=time%5E3)
Explanation:
Since the expression for the distance is:
![x = a+b\,t+c\,t^2+d\,t^3](https://tex.z-dn.net/?f=x%20%3D%20a%2Bb%5C%2Ct%2Bc%5C%2Ct%5E2%2Bd%5C%2Ct%5E3)
then:
has units of distance
has units of distance over time
has units of distance over ![time^2](https://tex.z-dn.net/?f=time%5E2)
has units of distance over ![time^3](https://tex.z-dn.net/?f=time%5E3)
because we are supposed to be able to add all of the terms and get a distance. So the products on each term that contains factors of time (t) should be cancelling those time units with units in the denominator of the multiplicative constant s that accompany them.
The answer is False, pls. mark me the brainliest if I’m right. THX