1

# The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion $s=2 \sin \pi t+3 \cos \pi t,$ wher...

## Question

###### The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion $s=2 \sin \pi t+3 \cos \pi t,$ where $t$ is measured in seconds. (a) Find the average velocity during each time period: $$\begin{array}{ll}{\text { (i) }[1,2]} & {\text { (ii) }[1,1.1]} \\ {\text { (iii) }[1,1.01]} & {\text { (iv) }[1,1.001]}\end{array}$$ (b) Estimate the instantaneous velocity of the particle when $t=1$

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion $s=2 \sin \pi t+3 \cos \pi t,$ where $t$ is measured in seconds. (a) Find the average velocity during each time period: $$\begin{array}{ll}{\text { (i) }[1,2]} & {\text { (ii) }[1,1.1]} \\ {\text { (iii) }[1,1.01]} & {\text { (iv) }[1,1.001]}\end{array}$$ (b) Estimate the instantaneous velocity of the particle when $t=1$

#### Similar Solved Questions

##### 6 Use the set up of problem 3.1.5 for:
6 Use the set up of problem 3.1.5 for:...
##### Find the Volume 0f the Solla tht lies be neath the Fonction and above the fcx,9) - (x+y)t rectangle R = [1,2] * [0,']
Find the Volume 0f the Solla tht lies be neath the Fonction and above the fcx,9) - (x+y)t rectangle R = [1,2] * [0,']...
##### Without referringtoany assignment problem directly prove following explicitly by usingthe Principl Complete Inducticn (PCI}: Ii Fibcnacci- numbers fx are zivenbyfi = f=lf f-1 f,-2 forn 2 3 and Fibonacci-2 numbers gw ziven by92 = 2, 9a 9#-19-'-2 for n _ 3, then V97 2//2 forall n en
Without referringtoany assignment problem directly prove following explicitly by usingthe Principl Complete Inducticn (PCI}: Ii Fibcnacci- numbers fx are zivenby fi = f=lf f-1 f,-2 forn 2 3 and Fibonacci-2 numbers gw ziven by 92 = 2, 9a 9#-19-'-2 for n _ 3, then V97 2//2 forall n en...
##### Point)Calculate the moments Mx &nd My and the center of mass (z, 3) of a larnina with the given density and shape (se2 the tigure below)0 = [2MM,My(,9) =
point) Calculate the moments Mx &nd My and the center of mass (z, 3) of a larnina with the given density and shape (se2 the tigure below) 0 = [ 2 M M, My (,9) =...
##### Brams of Fe (NO Jis needed to make 4OOmLofa 0.3M What mass solution?5. Determine the molarity of the solution containing 1.5 mol of KNO , in 250 mL total volume of solution:the number of moles of sodium hydroxide in 500 mL ofa 6.Determine 0.6 M solution
Brams of Fe (NO Jis needed to make 4OOmLofa 0.3M What mass solution? 5. Determine the molarity of the solution containing 1.5 mol of KNO , in 250 mL total volume of solution: the number of moles of sodium hydroxide in 500 mL ofa 6.Determine 0.6 M solution...
##### Problen 3: Let (bn)nzo be & sequence such that En-o bn is convergent. Let (an)n2o to be & sequence such that Un+1 an bn for all n â‚¬N. Prove that (n)nz0 is a convergent sequence.
Problen 3: Let (bn)nzo be & sequence such that En-o bn is convergent. Let (an)n2o to be & sequence such that Un+1 an bn for all n â‚¬N. Prove that (n)nz0 is a convergent sequence....
##### (a) Prove that the topological space in Example 4.2 in the course packet is connected, (b) Prove that Q is nOt connected subset of R
(a) Prove that the topological space in Example 4.2 in the course packet is connected, (b) Prove that Q is nOt connected subset of R...
##### Identify the equation as homogeneous, Bernoulli; linear coefficients , Or of the for Stx dx + (x2 _ dl = 0 Select all that applyG(ax + by)the form y' = G(ax + by) homogeneous Bernoullilinear coefficients
Identify the equation as homogeneous, Bernoulli; linear coefficients , Or of the for Stx dx + (x2 _ dl = 0 Select all that apply G(ax + by) the form y' = G(ax + by) homogeneous Bernoulli linear coefficients...
##### Obtain an expression for paramagnetic suscepubility of free electrons on the basis of clasical laws. Discuss its shortcomings and show how Pauli modified it
Obtain an expression for paramagnetic suscepubility of free electrons on the basis of clasical laws. Discuss its shortcomings and show how Pauli modified it...
##### Find the limits of the following sequences, if the limit does not exist justify YOur answern152 lim sin Vn sin 7 n1-0'3n2 + 5 b) lim 11-00 3n2 _lim n~0 Vni _ 2lim Vn? _ 2n + n * 3n n1-0n4 3n24n + 5) 1-vns lim n-0o 3n +5 + (2n - 1)! f) lim n-0 3 (2n + 1)!lim (Vi + sinT n-0h) lim (2n 3" _ 5" _ 7") n1~0
Find the limits of the following sequences, if the limit does not exist justify YOur answer n15 2 lim sin Vn sin 7 n1-0 '3n2 + 5 b) lim 11-00 3n2 _ lim n~0 Vni _ 2 lim Vn? _ 2n + n * 3n n1-0 n4 3n2 4n + 5) 1-vns lim n-0o 3n + 5 + (2n - 1)! f) lim n-0 3 (2n + 1)! lim (Vi + sinT n-0 h) lim (2n 3&...
##### (24 pts) The Figure shows an ideal electric dipole with dipole moment p and a uniformly charged, infinite plane with positive surface charge density n- a. Write an expression for the electric field at point P on the z-axis You can utilize any electric field expressions that you know from this class without deriving it here. b. Now consider two points A and B located on the z-axis in between the dipole and the plane, located at = 21 and 22 , respectively: Note: 0 22 Z1 d Find the potential differ
(24 pts) The Figure shows an ideal electric dipole with dipole moment p and a uniformly charged, infinite plane with positive surface charge density n- a. Write an expression for the electric field at point P on the z-axis You can utilize any electric field expressions that you know from this class ...
##### 0 > 0 3 8 2 U 8 6 { @ 2 3 4 3 2 1 @ { 3 [ TL [ 2 0!'a 1 [ [ [ 9 3 L
0 > 0 3 8 2 U 8 6 { @ 2 3 4 3 2 1 @ { 3 [ TL [ 2 0!'a 1 [ [ [ 9 3 L...
##### Question 5 (7 points) You managed to pull . a heavy crate up ramp on a truck: The crate has mass 50 kg: You were pulling with 480 N of force along the ramp while the ramp made an angle of theta-27.5 degrees with the horizontal: The coefficient of kinetic friction between the crate and the ramp is 0.47.What is the acceleration of the crate along the ramp?
Question 5 (7 points) You managed to pull . a heavy crate up ramp on a truck: The crate has mass 50 kg: You were pulling with 480 N of force along the ramp while the ramp made an angle of theta-27.5 degrees with the horizontal: The coefficient of kinetic friction between the crate and the ramp is 0....
##### Point) Consider the following integral. Sketch its region of integration in the xy- plane_LLZE Sxydydr(a) Which graph shows the region of integration in the xy-plane?(b) Evaluate the integral:(Click on a graph to enlarge it)
point) Consider the following integral. Sketch its region of integration in the xy- plane_ LLZE Sxydydr (a) Which graph shows the region of integration in the xy-plane? (b) Evaluate the integral: (Click on a graph to enlarge it)...
##### Fino /"78} snc9) Co5(9}, {0)f {0)K9)Need Help?POINTS0/10J Submissions UsedMY NOTES3VI; 64) = 10 {{4) =}Need Help?Sukrit Knaud~{1 POINTS01C" Submissions UscdMY NOTESTe drapi Df & @uncilr ( is shuth which graph an Antiderlvativc o 7?
Fino / "78} snc9) Co5(9}, {0) f {0) K9) Need Help? POINTS 0/10J Submissions Used MY NOTES 3VI; 64) = 10 {{4) =} Need Help? Sukrit Knaud ~{1 POINTS 01C" Submissions Uscd MY NOTES Te drapi Df & @uncilr ( is shuth which graph an Antiderlvativc o 7?...