How Is Horizontal Distance Calculated for a Golf Ball in Flight?

[Lacy]

[SOLVED] x and y component problem?

Homework Statement

http://loncapa3.physics.sc.edu/cgi-bin/plot.png?file=dengjh_sc_1202847653_17793457_plot.data

u will need that graph to solve this problem

) A golf ball is struck at ground level. The speed of the golf ball as a function of the time is shown in the figure., where t = 0 at the instant the ball is struck. How far does the golf ball travel horizontally before returning to ground level? i found this to be 112m and it is right

What is the maximum height above ground level attained by the ball?

Homework Equations

S = (1/2)*a*t^2

The Attempt at a Solution

Looks like the ball travels for 4 sec. When the speed is minimum (that speed looks like 27.5 m/s to me) it has reached its peak so the vertical component of speed has gone to zero. All the remaining velocity is horizontal, 27.5 m/s. And that's the horizontal velocity,Vh, during the entire 4 seconds. So the horizontal distance h is found from
Vh = h / total time

Vertical distance: It took 2 seconds to return to the ground from that peak,
S = (1/2)*a*t^2

now i tried using the equation but it didnt work. can someone point me to the right directioin

 

[Hootenanny]

Welcome to PF Lacy,

Your URL is broken.

 

[Lacy]

thank you i fixed it

 

[Hootenanny]

The reason it didn't work is your equation is incomplete. The full equation is,

$$x = x_0 + v_0 t + (1/2) a t^2$$

Where x₀ is the initial displacement (in this case zero) and v₀ is the initial velocity.

 

[Lacy]

now I am trying to find max height would i use y=volt-.5at^2

would this be correct

y=34(2)-(4.9)(4)

48.4

 

[Hootenanny]

now I am trying to find max height would i use y=volt-.5at^2

Correct, where a = 9.81m.s^-2

 

[Lacy]

would this be correct

y=34(2)-(4.9)(4)

48.4

 

[Hootenanny]

How did you determine the initial velocity?

 

[Lacy]

i looked on the graph and it started at 34m/s

 

[Lacy]

i also got this equation but its different from the first one

you rearrange y-yo = Vosin(theta)t-
1/2gt^2 so that sin(theta) = (1/2gt^2)/Vo. Once you have
sin, plug in the variable in the y-yo = Vosin(theta)t-
1/2gt^2 formula.

which way do i do it I am confused

 

[Hootenanny]

i looked on the graph and it started at 34m/s

That is the initial speed, not the initial [vertical] velocity. However, you know the horizontal velocity (112/4) and the speed, therefore you can easily calculate the initial vertical velocity.

 

[Lacy]

y=28(2)-(4.9)(4)

alright now i got 36.4 is this right
where vo=28 and t=2

 

[Hootenanny]

[...]However, you know the horizontal velocity (112/4) [...]

White space

 

[Lacy]

would this be it

vo=.5at^2

where a=9.8 t=2

so vo=19.6m/s ?

 

[Hootenanny]

You've use the wrong equation, but got the correct answer. The correct method would be as follows,

$$v = v_0 + at$$

At maximum height $v=0$, hence,

$$v_0 + at = 0 \Rightarrow v_0 = -2g = 19.6 m.s^{-2}$$

 

[Lacy]

alright i got the right answer THANK YOU for all the help hootenanny :)

 

[Hootenanny]

alright i got the right answer THANK YOU for all the help hootenanny :)

A pleasure Lacy

If you'd be so kind to mark the thread as 'solved' (look for "Thread Tools" in the top right-hand corner of the thread) that would be great.