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Nonamiya [84]
3 years ago
10

The ball X has a known position at 3 different times, each 1 second apart. The positions of the ball are (1.8,2.2)m, (4.4,4.8)m,

(6.4,7.9)m, for times t-1, t, and t+1 respectively. What is the approximate magnitude of the accelerate of the ball at time t (in m/s^2), given this information?
Physics
1 answer:
Mandarinka [93]3 years ago
6 0

Answer:

Explanation:

From the position coordinates given , it appears that the ball moves simultaneously along x and y direction.

Displacement along x direction in one second = 4.4 - 1.8 = 2.6 m

So velocity along x direction V_x = \frac{2.6}{s}

Similarly velocity along y direction V_y(1) =  \frac{2.6}{s}

In the next phase velocity changes both in x and y direction.

velocity in x - direction V_x(2) = [tex]\frac{2}{s}[/tex

Velocity in Y- direction V_y(2) = [tex]\frac{3.1}{s}[/tex

Acceleration in x direction = change of velocity in x direction

= ( 2 - 2.6 ) = -.6 m s⁻²

Acceleration in y direction = ( 3.1 - 2.6 ) = 0.5 m s⁻²

Total acceleration =\sqrt{( -.6 )² + ( .5 )²}

= .78 ms⁻²

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3 years ago
The graph above shows the position and time calculate the velocity of the particle from T=0s to T=4s?
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Answer:

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The graph of distance to time, from time t = 0 to time t = 4 is a straight line graph, with the velocity given by the rate of change of the displacement to the time which is dx/dt which is also the slope of the graph given as follows;

The \ slope \ of \ the \ displacement \ time \ graph, \ m =velocity, \ v= \dfrac{x_2 - x_1}{t_2 - t_1}

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The velocity of the particle from t = 0 s to t  = 4 s = 1/2 m/s = 0.5 m/s.

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