How Do You Calculate Projectile Motion for a Toy Car and an Arrow?

[merceb49]

A toy car runs off the edge of a table that is 1.325 m high. The car lands 0.425 m from the base of the table.
How long did it take for the car to fall off the table?
How fast was the car going when it fell off the table?

and

An arrow is shot at 30.0° above the horizontal. Its initial speed is 49 m/s and it hits the target.
What is the maximum height the arrow will attain?
The target is at the height from which the arrow was shot. How far away is it?

I was gone when my teacher went over this and my tutor did not understand this. PLEASE ANYONE I need suggestions hints anything to help me get these 4 questions correct. this is make or brake, please help soon. Please

 

[Delphi51]

They are called projectile motion problems. Likely you can find an example in your text or on the web. Basically you
separate the initial velocity into horizontal and vertical parts. Then write two headings:
Horizontal and Vertical. Decide in each case whether you have constant speed or accelerated motion and write the appropriate formula(s). Put in the numbers or expressions for all known quantities and look for an equation you can solve.

 

[pr0blumz]

If you have an initial velocity and an angle then you should be able to use you trig. to solve for this.

 

[merceb49]

using trig gives me 24.5 and that is a velocity, not a measure of height.
I would have plugged into the appropriate formulas, the only problem is I do not know any necessary formulas. could i get some help with that?

 

[pr0blumz]

using trig gives me 24.5 and that is a velocity, not a measure of height.
I would have plugged into the appropriate formulas, the only problem is I do not know any necessary formulas. could i get some help with that?

v_o * sin theta = y
v_o * cos theta = x

 

[merceb49]

with that i get .3 and .9. i don't understand how trig will lead me to the height when all i have to measure with is a velocity

 

[ApexOfDE]

I think you don't understand the solutions posted above. Let's us consider again you problem. Arrow's initial speed is 49m/s with 30⁰ from horizontal. From this, you have:

v0x = v0 * cos(theta) and v0y = v0 * sin(theta).

Horizontal speed is constant but vertical speed is not. Vertical speed will be decreased from highest value (v0y) to zero (when arrow reaches highest point in the air).

From textbook, you have: v(t)^2 - v0^2 = 2 * a * s(t) . In your problem, v(t) is vertical velocity of arrow at highest point s(t) ==> v(t) = 0. Acceleration is g (downward), meanwhile motion is upward ==> a = -g.

After you have s(t), you can find t ==> x = v0x * t

 

[merceb49]

oh ok, and S is representing? physics is not my calling...

 

[pr0blumz]

oh ok, and S is representing? physics is not my calling...

s=height

 

[merceb49]

i thank you all for the help, i just don't understand this at all. thank you for the time