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1/4(d^2x/dt^2) + dx/dt + x = 0 where x(zero)= 4 & x equals zero assuming the displacement, x is a function of time t
The initial value problem shown above models the vertical motion of a weight connected to a spring.
At time t, calculate the spring's vertical displacement.
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- OK, same sort of track, but now with d = 2.66 m. Now suppose the blocks starts on the track at x = 4.35 m. The block is given a push to the left and begins to slide up the track, eventually reaching its maximum height at x = 0, at which point it turns around and begins sliding down. What was its initial speed in this case?Two children are playing on two trampolines. The first child can bounce up one-and-a-half times higher than the second child. The initial speed up of the second child is 5.3 m/s. ▼ Part C ▼ Part A t₁ = ▼ Find the maximum height the second child reaches. Express your answer using two significant figures. 5 ΑΣΦ 195| ΑΣΦ 4 h₂ = Submit Part B X Incorrect; Try Again; 6 attempts remaining Previous Answers Request Answer U1 = How long was the first child in the air? Express your answer using two significant figures. What is the initial speed of the first child? Express your answer using two significant figures. G| ΑΣΦ CINC C ? S DINO ? ? m m/sso distance can be found from acceleration if you know the initial velocity, and acceleration is constant with d=vi*t+(1/2)*a*t^2. Is there a similar equation for finding the distance from Jerk if you know the initial velocity and acceleration, and Jerk is constant? d=vi*t+(1/2)*ai*t^2+(1/4)*j*t^3 (I derived this equation and it is close but not quite right) I'm missing and I'd like to know what.
- A particle starts from zo = 22 m at to=0 and moves with the velocity graph shown in (Eigure 1). You may want to review (Pages 41-43). Figure v, (m/s) 12 Z 1 2 3 8 4 0 1 of 1 r(s) Submit Value Part C Units Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining Value What is the object's position at t=48? Express your answer to two significant figures and include the appropriate units. ? Units Submit Previous Answers Request Answer ? X Incorrect; Try Again; 3 attempts remaining14- 12니 E 10 8. 6. 4 21 F 10 12 14 16 18 20 6. Time (hours) The total distance travelled is km. The net displacement is km. displacement at t=18 hrs is km The distance between points E and F is km. The displacement between points E and F is km Distance (km)At which point or points is the velocity nonzero and opposite in sign to the acceleration?
- a m/s t A particle moves in a straight line with the acceleration shown in the figure. Knowing that the particle starts from the origin with v, = -2 ms, (a) construct the v-t and X-1 curves for 0The position x of a bowling ball rolling on a smooth floor as a function of time t is given by: x(t) = vot + xo, where vo ▸ View Available Hint(s) = = 2.5 m/s and x0 = -5.0 m. The polynomial relationship between position and time for the bowling ball is exponential inverse quadratic cubic ○ lineara.130.8 mb.142.3 mc.168.0 md.150.0 mPlease show how to derive this equation of constant acceleration: θ = θ0 + (ω + ω0) t/2MI m2 Find the equations of motion and then discuss the results of acceleration when XX₂ X₂ 1000 K and XThe y-coordinate of a particle varies at a constant speed of 4.2 m/s. At t=0, the y-coordinate was found to be 2.7 m. Find an analytic expression for the function y(t).SEE MORE QUESTIONSRecommended textbooks for youCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
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