A remotely controlled toy car travels along a straight line and its position changes with time following the law: x(t)=5t³-t²+1 where time t is measured in seconds and the coefficients have such dimensions that the meters. position x(t) is measured i 10. What is the displacement of the car for the first 2 seconds since the start at t=0 s? 11. What is the average velocity of the car for the time period between the t-0s and t=2 s? 12. What is the instantaneous velocity of the cat at t-2s ? 13. What is the instantaneous acceleration of the car at t-2 s?

Q: 41. Average velocity. In t seconds, an object dropped from a certain height will fall s(t) feet,…

A: Given Data: The height is given by, st=16t2. (a) The values of s(5) and s(3) can be calculated as,…

Q: A ball is tossed vertically from the top of a building that is 96 stories tall (approximately 864…

A: "As per the guidelines i solved the first three subpart". 1. Find the velocity equation in terms of…

Q: 1 A. car is traveling at 30 m/s ( The driver applies the brakes and the car comes to a stop in 4.0 s…

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Q: Question Complebon StatUS! Соpy of The graph below shows the velocity of an object as a function of…

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Q: Jeff Gordon and Dale Earnhardt are racing their stock cars to try to win the Daytona 500. Jeff makes…

A:

Q: A suspicious-looking man runs as fast as he can along a moving sidewalk from one end to the other,…

A: Concept of Relative velocity: Let's assume velocity of an object "O" moving at velocity (V0) w.r.t…

Q: A cheetah accelerates from rest to a maximum velocity of 22.0 i m/s in 2.00 seconds, whilst running…

A: Initial velocity (u) = 0 m/s Final velocity (v) = 22 m/s time taken (t) = 2 seconds

Q: Ilya and Anya each can run at a speed of 7.50 mph and walk at a speed of 3.10 mph. They set off…

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Q: The displacement of a particle is given by s = 2t3 - 48t2 + 100t - 69 where s is in feet and t is in…

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Q: The velocity-time graph that describes the velocity of an object with time is given as in the figure…

A: a = 98.5 b = 124.6 c = 57

Q: An object is moving in the air (defying gravity) so that its height after t seconds is given by…

A:

Q: A runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km]…

A: The expression for find time taken by the runner to complete the race is t=dv

Q: A car moves along a straight road. It moves at a speed of 50 km/hr for 4 minutes, then during the…

A: This question belongs to kinematics.

Q: The following data (1,2), (2, 3.5) and (3,4) represents the displacement d of an object at i seconds…

A: Given: The displacement (d) of the object at time t seconds shown in the below table, time (t)…

Q: Situation 02. Clarissa is running at 5 m/s to catch the school bus, which is stopped to a nearby bus…

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Q: A jet accelerates at a constant rate from rest, traveling 900 m in 3.0 s. What is the magnitude of…

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Q: Problem 6: A car goes 56 m to the right and then 26 m to the left. It makes this trip in 55 seconds.…

A: Consider the initial position of the car at point O (xi = 0) as shown in the figure below. The car…

Q: 3. This table shows the speed of an accelerating car. 01 2 3 4 4 5 6 Time (s) Speed (m/s) 0 16 25 31…

A: The average acceleration from the graph is 5.93 m/s^2.

Q: A driver traveling north slows down from 31.9 m/s to 0 m/s in 6.5 seconds. What is the magnitude of…

A: Given that, Initial velocity (u) = 31.9 m/s  Final velocity (v) = 0 m/s  Time (t) = 6.5 seconds  We…

Q: Pr1. The speed of a cyclist along the horizontal road is 16 km/h, 12 km/h upward and 24 km/h…

A: Given: The speed in horizontal direction vh = 16 km/h. The speed in upward direction vu = 12 km/h.…

Q: A car is traveling at an initial speed of 20 m/s and slows to rest with an acceleration of -5.0 m/s.…

A: The initial speed of the car,(u)=20 m/sec -----(1) [Given] Acceleration of the car,(a)=(-)5 m/sec2…

Q: The position of a particle moving along the z-axis is given by a(t) = 6.0 - 2.0t m. Help on how to…

A: The position of the particle is given by x=6-2t where x is in metres and t is in seconds

Q: 1. A sprinter at a track and Field event is entered in a 500 m race. The starting gun goes off,…

A: (1) According to the kinematic equation of motion, the acceleration of the sprinter is, Substitute…

Q: A stone is thrown vertically upward with a speed of 17.6 m/sm/s from the edge of a cliff 75.0 mm…

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Q: answer must be in SI and round off to the nearest hundredths Vehicles has accelerated from 2.0 m/s…

A: Given initial velocity = 2.0 m/s final velocity = 5.0 m/s time taken to change the this velocity =…

Q: QUESTION 5 Supply all missing information with the correct numerical values. Do not include the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 2. At time t=0 s, an object is observed at x = 0 m; and its position along the x axis follows this…

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Q: 1. A man jogs 5.0 km (5000 m) in 27 minutes. a) What is the time interval (At) in seconds? b)…

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Q: In the 16. A particle moves according to the equation x 10t, where x is in meters and t is in…

A: Part-a The position equation of the particle x = 10t2. The initial time t1 = 2 s. The final time t2…

Q: For questions 2 & 3, use the following problem: An object moves on a straight line so tha after t…

A: x(t) = t2 - 2t

Q: You travel 1000 m in 25 seconds, accelerating the whole time at a constant rate. What is the rate of…

A: Given data:  Distance traveled (d) = 1000 m Time (t) = 25 s Initial velocity (Vi) = 0 m/s Required:…

Q: he velocity (v) in metres per second of an object in terms of the time (t) in seconds is given by:…

A: Given: The equation of the velocity of the object is. v=-10t2+9…

Q: A frustrated office worker throws his laptop out of his business's high- rise office building. The…

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Q: A particle moves accordingly to a law of motion s = f(t) = t^2 e^−t, t ≥ 0, where t is measured in…

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Q: The speed S (m/mi-) of an object is defined by S = 6t² + 2t + 3 after t minutes. For the first one…

A: The speed of the object is given by the expression s=6t2+2t+3 where t is in minutes. After t=1 min…

Q: An object has an acceleration defined by the equation a=5t+4 (m/s^2) where "t" is in seconds. The…

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Q: The velocity of a particle is given by the function v(t)=t^2-7t+1027 , where the velocity is…

A: Given Data : The function of velocity is given as vt=t2-7t+10 The displacement of the particle in…

Q: Superman needs to save Lois from the clutches of Lex Luthor. After flying for 12 seconds, he is 1900…

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Q: One fine day on an unused airport runway, a high-end sports car conducted a 0 to 400 km/h…

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Q: A car starts moving at time t=0 and goes faster and faster. Its velocity is shown in the following…

A: To determine the distance traveled by car during the first 12 seconds. We will divide the time…

Q: 0 1 2 3 4 5 6 Time (s) What is the displacement at time 0 sec 1. (by meter) ? 2) What is the total…

A: Let us consider a ball moving in one dimensional path from its initial position y=4 m   at t=0 s the…

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.