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sin(7nt) where s is measured in centimeters and t in seconds. Find the velocity of The...
The displacement of a particle on a vibrating string is given by the equation s(t) = 12 + * sin(1211) where s is measured in centimeters and t in seconds. Find the velocity of the particle after t seconds. (t) = cm/s
f(t), where s is measured in meters and t in seconds. Find the velocity and speed when t = 3 A particle moves along a straight line with equation of motion s f(t) = 8030t - 4.5t2 velocity m/s speed m/s f(t), where s is measured in meters and t in seconds. Find the velocity and speed when t = 3 A particle moves along a straight line with equation of motion s f(t) = 8030t - 4.5t2 velocity m/s...
The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 5 sin πt + 2 cos πt, where t is measured in seconds. (Round your answers to two decimal places.) (a) Find the average velocity during each time period. (i) [1, 2] ? cm/s (ii) [1, 1.1] ? cm/s (iii) [1, 1.01] ?cm/s (iv) [1, 1.001] ?cm/s (b) Estimate the instantaneous velocity of the particle when...
sin (3x + 2t), where x andy are in An equation that gives the particle displacement for a medium in which there is a simple harmonic traveling wave is y(x, t) - centimeters and t is in seconds. At t - 2s the speed of a particle at the location x 4 cm is 06cm/s 0 4cm/s. 8cm/s 2 cms.
The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after 3 sec. (Round your answers to three decimal places.) ft/sec ft/sec2 a(3) The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after...
QUESTION 8 The velocity of a particle is v-1 9 i + (3-2) j m/s, where t is in seconds. If r:0 when particle in the y direction during the interval t 1 sto t 4 s 0, determine the displacement of the QUESTION 8 The velocity of a particle is v-1 9 i + (3-2) j m/s, where t is in seconds. If r:0 when particle in the y direction during the interval t 1 sto t 4 s...
The velocity ofa particle is defined by v (-2i+(3-20A, m/s where t is in seconds. If r 0 when t 0, determine the displacement of the particle during the time interval t As (-8/-4A, m As (-6i+-6A. m As (-10/-2A.m As-(-4, m 1 s and t 4 s. A motor gives a disk A an angular acceleration of aA (2t+3) rads, where t is in seconds. If the inidal angular velocity of the disk is Dg 5 rads, determine the...
C, D, F??????? A partidle moves according to a law of motion s-t), t0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) ft) - - 721t (a) Find the velocity at time t -32-14 +21 ft/s (b) What is the velocity after 1 second? 1)10 ft/s (c) When is the particle at rest? t 2.33333333 | X (d) when is the particle moving in the positive direction? (Enter your answer...
The equation of a transverse wave traveling along a very long string is given by y = 6.1 sin(0.018πx + 3.1πt), where x and y are expressed in centimeters and t is in seconds. Determine the following values. (a) the amplitude cm (b) the wavelength cm (c) the frequency Hz (d) the speed cm/s (e) the direction of propagation of the wave +x−x +y−y (f) the maximum transverse speed of a particle in the string cm/s (g) the transverse displacement at...
The equation that describes a transverse wave on a string is y = (0.0120 m)sin[(394 rad/s)t - (3.00 rad/m)x] where y is the displacement of a string particle and x is the position of the particle on the string. The wave is traveling in the +x direction. What is the speed v of the wave?