(a) If the particle's position (measured with some unit) at time <em>t</em> is given by <em>s(t)</em>, where
then the velocity at time <em>t</em>, <em>v(t)</em>, is given by the derivative of <em>s(t)</em>,
(b) The velocity after 3 seconds is
(c) The particle is at rest when its velocity is zero:
(d) The particle is moving in the positive direction when its position is increasing, or equivalently when its velocity is positive:
In interval notation, this happens for <em>t</em> in the interval (0, √11) or approximately (0, 3.317) s.
(e) The total distance traveled is given by the definite integral,
By definition of absolute value, we have
In part (d), we've shown that <em>v(t)</em> > 0 when -√11 < <em>t</em> < √11, so we split up the integral at <em>t</em> = √11 as
and by the fundamental theorem of calculus, since we know <em>v(t)</em> is the derivative of <em>s(t)</em>, this reduces to
Answer:
Una bicicleta de aro 26 recorre 377 metros cuando sus ruedas dan 200 vueltas.
Step-by-step explanation:
Para encontrar la respuesta, primero tienes que calcular la longitud de la circunferencia utilizando la siguiente formula:
Longitud=π*diámetro
El diámetro es 0,6m y el valor de π es 3,1416 y puedes reemplazar estos valores en la fórmula:
Longitud=3,1416*0,6
Longitud=1,885
Ahora que tienes la longitud que recorre la rueda en cada vuelta, puedes multiplicar este valor por el número de vueltas para encontrar los metros que recorre una bicicleta de aro 26:
200*1,885=377
De acuerdo a esto, la respuesta es que una bicicleta de aro 26 recorre 377 metros cuando sus ruedas dan 200 vueltas.
Answer:
72:48
Step-by-step explanation:
as you divide 120 by 5 as 3+2=5 and that equals 24
24x3=72
24x2=48
5 gallons of lemonade equals to 80 cups. 64 Fl Oz of fruit juice equals to 8 cups. 80 plus 8 is only 88. You need 32 more.
Answer:
TanA = 5/12, SinA = 5/13
Step-by-step explanation:
Tangent is opposite/adjacent, so 5/12
Sin is opposite/hypotenuse, so 5/13
Hopefully this helps! Let me know if you have any questions