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Question:
A particle moving along the x-axis has a position given by x=(24t - 2.0t³)m, where t is measured in s. What is the magnitude of the acceleration of the particle at the instant when its velocity is zero
Answer:
24 m/s
Explanation:
Given:
x=(24t - 2.0t³)m
First find velocity function v(t):
v(t) = ẋ(t) = 24 - 2*3t²
v(t) = ẋ(t) = 24 - 6t²
Find the acceleration function a(t):
a(t) = Ẍ(t) = V(t) = -6*2t
a(t) = Ẍ(t) = V(t) = -12t
At acceleration = 0, take time as T in velocity function.
0 =v(T) = 24 - 6T²
Solve for T
Substitute -2 for t in acceleration function:
a(t) = a(T) = a(-2) = -12(-2) = 24 m/s
Acceleration = 24m/s
The period of the sound wave at the given frequency is determined as 0.00235 second.
<h3>
Period of the sound wave</h3>
The period of the sound wave at the given frequency is calculated as follows;
Period is reciprocal of frequency.
T = 1/f
T = 1/425
T = 0.00235 second
Thus, the period of the sound wave at the given frequency is determined as 0.00235 second.
Learn more about period here: brainly.com/question/10428039
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Answer:
(a) 300 ft
(b) 60 ft/s
Explanation:
distance
where a is acceleration and t is time

Also, d=vt where v is the velocity
d=30t
Therefore
hence t=10 s
Substituting t is either formula
d=30t=30*10=300 ft
Also
v=at hence 
Respuesta:
$138.39
Explicación:
Paso 1: Calcular el total que gastaron
El total que gastaron es igual a la suma de los que gastó cada uno.
$50.00 + $28.50 + $20.50 + $10.80 + $22.00 = $131.80
Paso 2: Calcular el 5% de $131.80
$131.80 × 5% = $6.59
Paso 3: Calcular el total que pagó con la tarjeta
A los $131.80 que gastaron debe sumarle los $6.59 por el uso de tarjeta.
$131.80 + $6.59 = $138.39