3 A particle travels along a straight line. Its acceleration in the interval 0 ≤ t ≤ 6 is shown in the acceleration-time graph. Acceleration (ms) 5432 -2 Figure 19.20 [i] 2 3 4 uy 6 7Time (s) Write down the acceleration at time t = 2. [ii] Given that the particle starts from rest at t = 0, find the speed at t = 2. [Find an expression for the acceleration as a function of t in the interval 0 ≤ ≤ 2.

3 A particle travels along a straight line. Its acceleration in the interval 0 ≤ t ≤ 6 is shown in the acceleration-time graph. Acceleration (ms) 5432 -2 Figure 19.20 [i] 2 3 4 uy 6 7Time (s) Write down the acceleration at time t = 2. [ii] Given that the particle starts from rest at t = 0, find the speed at t = 2. [Find an expression for the acceleration as a function of t in the interval 0 ≤ ≤ 2.

Name: main step only ( briefly) Short explanation neededA particle travels
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Description: main step only ( briefly) Short explanation neededA particle travels along a straight line. Itsacceleration in the interval 0 ≤ t ≤ 6 is shownin the acceleration-time graph.Acceleration (ms)765432IO1 2Figure 19.20(i)34 56 7Time (s)Write down the acc

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by = [5.00 m/s - (0.0180 m/s³)t²] i + [2.00 m/s + (0.550 m/s²)t]j. v = 7.00 Submit Previous Answers ✓ Correct Part D What is the direction (in degrees counterclockwise from +-axis) of the velocity of the car at t = 6.50 s? Express your answer in degrees. 0₂ = 52.7 ° Submit ✓ Part E a = Previous Answers Correct What is the magnitude of the acceleration of the car at t = 6.50 s? Express your answer with the appropriate units. 0.357 Submit μÀ m S ? Check the units used in your calculation; the numerical value you reached does not appear to have dimensions of acceleration. No credit lost. Try again. Previous Answers Request Answer
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/s
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"O. LTE A 12:24 [Template] Copy.. First Six Weeks Physics Review Position = where an object is at any given point of time (can be positive or negative) Distance = total ground covered during an object's motion Speed = distance/time; standard unit is m/s Displacement is the change in nosition fromA to R. Displacement = change in position of an object; how far out okplace an object is with direction Velocity = displacement/time; standard unit is m/s; has direction Distance is the thtatamount position (m) 80 60 40 20 - 20 -40 10 20 30 40 50 (sec) We can tell an objects What is the object's displacement from 10 to 15 seconds? by studying the slope of a position v. time graph. What is the object's displacement from 15 s to 40 s? What is the object's velocity from 15 s to 40 s? Is it positive or negative? At what point is the object's speed the fastest? Acceleration is the rate of change of velocity. It occurs when an object speeds up, slows down, or changes direction. Has direction. a = (Vf…
Question 4 A stretched string of length 50 cm is plucked a quarter of the way along its length to give an initial velocity of 10 m/s. Find expressions for the coefficients an and bn. a. an = 0 bn = 0 -0.5 b. an = 0.25 y(x,0) sin(kx)dx, b₁ = 0 4 0.5 = c. an = 0, bn foy(x,0) sin(kx) dx @n 4 -0.5 d. an = So y(x,0) sin(kx) dx, y(x,0)sin(kx)dx Wn b₁ =0.255 0
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A remote-controlled car is moving around in a level (horizontal) parking lot. The velocity of the car as a function of time is given by: 3 = [5.0m/s – (0.018m/s³)t²]î + [2.0m/s + (0.55m/s²)t]î %3D where î and ĵ are unit vectors representing two perpendicular directions on the horizontal ground (think of them as the East and North directions, if that helps you). a). What are ax (t) and a,(t), the x- and y-components of the car's acceleration as functions of time?
2) A ball is thrown vertically upward from the top of a building. [A 17] It has a height function g(t) = -11t² + 72t + 95, where g(t) is in metres and "t" is in seconds. i. Determine the average rate of change of the height of the ball during the time interval t€ [1,3] ii. What is the instantaneous speed of the ball at t = 3 seconds? You MUST use an appropriate limit function here.
3. Maisy, the bodacious Bernedoodle puppy, and Ollie, the hapless hamster are great math friends. Maisy wants to find the position function of a particle given that the velocity function is v(t) = 2tj + sin(t)k and the initial position is r(0) =i+j. Maisy says this means the constant of integration is (1,1,0), but Ollie warns her to be careful about using the initial position properly. Help Maisy find the correct position function.