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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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bekas [8.4K]

Answer:

a) 79.7rad/s

b) -18.7rad/s^2

c) 53m

Explanation:

We will use the MKS system of unit, so:

v=89.0km/h=89.0\frac{km}{h}*\frac{1000m.h}{3600km.s}=24.7m/s\\\\d=62.0cm=62.0cm*\frac{0.01m}{1cm}=0.62m

now, The angular speed is given by:

\omega=\dfrac{v}{\frac{d}{2}}\\\\\\\omega=\frac{24.7m/s}{0.31m}=79.7rad/s

in order to obtain the angular acceleration we have to apply the following formula:

(\omega_f)^2=(\omega_o)^2+2\alpha*\theta\\\\\alpha=-\frac{(\omega_o)^2}{2*rev*2\pi}\\\\\alpha=-\frac{(79.7m/s)^2}{2*27*2\pi}=-18.7rad/s^2

The linear displacement is given by:

d_l=\theta*r\\d_l=rev*2\pi*\frac{d}{2}\\\\d_l=27*2\pi*0.31m=53m

3 0
3 years ago
Which of the following motions has a straight line?
skad [1K]
The answer would probably be B.
8 0
3 years ago
(1 point) A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a s
Andreas93 [3]

Answer:

\frac{dx}{dt}=7.14m/s

Explanation:

As is showed at the figure annexed, we can solve this problem finding the relation between the girl displacement and the shadow displacement.

Relation the triangles (see figure annexed):

\frac{x}{H}=\frac{x-y}{h}\\x=\frac{H}{H-h}y

We derive in order to find the speed of the shadow, because:

dx/dt: shadow's speed

dy/dt: girl's speed

\frac{dx}{dt} =\frac{25}{25-4}*6=7.14m/s

5 0
3 years ago
The amount of the mass object has per its volume is knows as
hjlf
Volumetric mass or density
6 0
3 years ago
A ball is dropped from an initial height and allowed to bounce repeatedly. On the first bounce (one up-and-down motion), the bal
mojhsa [17]

Answer:

S₁₀ = 241.5837 m

Explanation:

If

h₁ = 2*32 in = 64 in

h₂ = 0.75*h₁ = (0.75)*64 in = 48 in

h₃ = 0.75*h₂ = 0.75*(0.75*h₁) = (0.75)²*h₁ = (0.75)²*64 in = 36 in

h₄ = 0.75*h₃ = 0.75*(0.75*h₁) = (0.75)³*h₁ = (0.75)³*64 in = 27 in

...

h₁₀ = 0.75*h₉ = (0.75)⁹*h₁ = (0.75)⁹*64 in = 4.8054 in

It is a geometric sequence (geometric progression) where the common ratio is

r = 0.75

Finding the sum of terms in a geometric progression is easily obtained by applying the formulas:

10<em>th</em> partial sum of a geometric sequence

S₁₀ = h₁*(1 - r¹⁰) / (1 - r)

⇒   S₁₀ = 64*(1 - 0.75¹⁰) / (1 - 0.75)

⇒   S₁₀ = 241.5837 m

6 0
3 years ago
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