Kinematic Equations: Position & Velocity at t=2.40s

AI Thread Summary
To determine the position and velocity at t=2.40 s, the initial horizontal velocity is calculated using the cosine of the angle, resulting in a value of approximately 10.67 m/s. The horizontal position at 2.40 s is found by multiplying the horizontal velocity by time, yielding about 25.6 m. For vertical velocity, the sine of the angle is used to find the initial vertical component, and the appropriate kinematic equations apply to calculate the velocity at t=2.40 s. The discussion emphasizes breaking down the velocity into horizontal and vertical components for accurate calculations. Understanding the variables, particularly initial velocity (u), is crucial for solving these kinematic problems.
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Homework Statement



Using the appropriate kinematic equations and initial values, determine the position and velocity at t=2.40 s.

(x, y)=0, 0
(vi, 0)=(25.0 m/s, 65.0 degree)

a.Horizontal Velocity of the initial velocity

b.Horizontal/Vertical Velocity at 2.40 s

c.Horizontal position at 2.40 s

Homework Equations





The Attempt at a Solution



a.(25 m/s)(Cos 65)

b.

c. X=(25 m/s)(2.40 seconds)

How do I get Horizontal/Vertical Velocity at 2.40 seconds?
 
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someone correct me if i am wrong, but i believe that you would want to break the horizontal/vertical velocity vector into into its components and then use either trig or pythag to find the avg velocity.
 
But it's asking for the velocity @ 2.40 seconds. Don't you break up vectors into components?
 
For something moving 25ms-1 at an angle of 65 degrees to the horizontal you use. 25cos65 for the horizontal and 25sin65 for the vertical. use appropriate formula for the given times to find its velocity
 
I'm wrong on C, it has to be:

25 m/s (Cos 65)(2.40 m)

I still don't get B. Gregg, isn't that how I solve for Initial velocity?
 
You can use
v = u + at you know u, you know a and you are given t.
 
I know V is Velocity, A is Acceleration and T is time. What is U? I've never seen it.
 
u is initial velocity, v0
 
Vf = Vi + at
or
V = V0 + at
 
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