Projectile motion (ground to ground)

In summary, a baseball is hit at a height of 1.30 m and then caught at the same height after traveling alongside a wall. It reaches the top of the wall 1.1 s after being hit and then passes the top of the wall 3.9 s later at a distance of 42 m farther along the wall. The horizontal distance traveled by the ball from hit to catch is 42 m. The magnitude of the ball's velocity just after being hit is 10.77 m/s, and the angle relative to the horizontal is obtained by taking the x component of the initial velocity, which is equal to 10.77 m/s. The height of the wall cannot be determined with the given information.
  • #1
J-dizzal
394
6

Homework Statement


In the figure, a baseball is hit at a height h = 1.30 m and then caught at the same height. It travels alongside a wall, moving up past the top of the wall 1.1 s after it is hit and then down past the top of the wall 3.9 s later, at distance D = 42 m farther along the wall. (a) What horizontal distance is traveled by the ball from hit to catch? What are the (b) magnitude and (c) angle (relative to the horizontal) of the ball's velocity just after being hit? (d) How high is the wall?
http://edugen.wileyplus.com/edugen/...u/ch0/EAT_13496164302600_3698173899564502.GIF

Homework Equations


I have the kinematic equations and equations for motion (while in flight)

The Attempt at a Solution


known solns:
ay = -g = -9.8m/s2
v0y = 29.89 m/s
vfy = -29.89 m/s
Δy = 0
t= 6.1s

im stuck at this point. i think maybe i can set the v at max height equal to the x component of v0?[/B]
 
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  • #2
Consider its horizontal velocity for the time it is above the wall.
 
  • #3
haruspex said:
Consider its horizontal velocity for the time it is above the wall.
velocity for the time the ball is over the wall,
v = Δd/Δt
= 42m / 3.9
= 10.77m/s.
But this is average velocity, if ax is constant and vx is constant then the avg velocity is equal to v at any point?

Then,
vavg = v0x = v0cosθi,
is the x component of v0.

Thanks.
How do you type unit vecotors i,j, and k with hats?
 
  • #4
J-dizzal said:
velocity for the time the ball is over the wall,
v = Δd/Δt
= 42m / 3.9
= 10.77m/s.
But this is average velocity, if ax is constant and vx is constant then the avg velocity is equal to v at any point?

Then,
vavg = v0x = v0cosθi,
is the x component of v0.

Thanks.
How do you type unit vecotors i,j, and k with hats?
Yes.
For the hat, use Latex. Putting a consecutive pairs of hash symbols(#) starts and ends a Latex string. Using dollar symbols instead puts the Latex on a line of its own. A hat over a character is achieved by writing \hat in front of it. Put a space after hat. If it is to go over something more complicated than a single character, use curly brackets: \hat{x^2} will produce ##\hat{x^2}##.
You can see how others have written latex by right-clicking on the generated text in their post and selecting View math as. You can then cut and paste to produce your own.
Sometimes the Latex refuses to work properly even though what you've written looks right. It's usually because you've included an unusual ASCII character or have some font change within it. Latex is jealous - in the Latex string, all must be Latex.
Always use the Preview button to check the Latex before posting.
 

FAQ: Projectile motion (ground to ground)

What is projectile motion?

Projectile motion is the motion of an object through the air or space, under the influence of gravity and air resistance. It follows a curved path called a parabola.

What factors affect projectile motion?

The factors that affect projectile motion are the initial velocity, angle of launch, air resistance, and gravity.

How is the trajectory of a projectile calculated?

The trajectory of a projectile can be calculated using the equations of motion, which take into account the initial velocity, angle of launch, and gravitational acceleration.

What is the maximum height reached by a projectile?

The maximum height reached by a projectile is determined by the initial velocity, angle of launch, and gravitational acceleration. It occurs when the vertical velocity of the projectile is zero.

How does air resistance affect projectile motion?

Air resistance can slow down the projectile and change its trajectory, making it deviate from the expected parabolic path. It also affects the distance traveled by the projectile.

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