A racing enthusiast claims that his sports car will accelerate from rest to a speed of 43.0 m/s in 8.10 s. (a) Determine the magnitude of the average acceleration of the car (in m/s2). m/s2 (b) Assume that the car moves with constant acceleration. Find the distance (in m) the car travels in the first 8.10 s. m (c) What is the speed of the car (in m/s) 10.0 s after it begins its motion if it continues to move with the same acceleration? m/s

Q: A horse canters away from its trainer in a straight line, moving 45 m away in 8.7 s. It then turns…

A:

Q: cheetah can accelerate from rest to 23.5 m/s in 2.00 s. Assume that the acceleration is constant…

A: Given: The initial speed of the cheetah is 0 m/s. The final speed of the cheetah is 23.5 m/s. The…

Q: The displacement (in meters) of a particle moving in a straight line is given by the equation of…

A: Velocity and displacement.

Q: An object is moving in the x-direction with some initial velocity. After a time of 4.06 seconds, the…

A:

Q: A vehicle travels on a straight stretch of road. Its position coordinate x (km) measured from a…

A: Given data The position coordinate is x = 4t3+21t2+18t+4 The duration of travelling is t = 1 hr   On…

Q: A stone is dropped from rest from the top of a high rise. It takes t=3.4s for it to reach the…

A: The displacement is Y Acceleration is a Time period T Initial velocity Vi The expression of…

Q: An object moves along the x-axis according to the equation x(t) = (3.00 ² -2.00 +3.00) m, where t is…

A:

Q: A car is traveling at 40 mph on a straight road. The driver applies the brakes for 3 sec, producing…

A: initial velocity u= 40mph =17.88m/s duration of brake applied t = 3sec deceleration a = -5.5ft/sec2=…

Q: Problem 1: An object is thrown straight up with an initial velocity of 17 m/s. Part (a) How high…

A: The given data are as follows:  The object is thrown straight up. The initial velocity, u = 17 m/s

Q: A motorist drives north for 41.0 minutes at 67.0 km/h and then stops for 15.0 minutes. He then…

A: @ first 41 minutes, t1= 41min = 41/60 hours = 0.683333333 hours v1= 67 km/hr Therefore,…

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: (a) Find the displacements for each section of time interval. (b) Plot a position-versus-time graph…

A: a) The displacement in the first time interval t1 = 1.5 min can be determined by given by the second…

Q: The cheetah can reach a top speed of 114 km/h (71 mi/h). While chasing its prey in a short sprint, a…

A: Initial speed of the cheetah is v0 = 0Distance travelled by the cheetah is x=45m

Q: A motorist drives north for 40.0 minutes at 65.0 km/h and then stops for 15.0 minutes. He then…

A: Given value--- first distance = 40.0 minutes at 65.0 km/h. stop time = 15 minute. Second distance =…

Q: A motorcycle has a constant acceleration of 2.83 m/s². Both the velocity and acceleration of the…

A: Acceleration of motorcycle (a) = 2.83 m/s2

Q: A car starts from rest at t = 0 s, and speeds up with a constant acceleration of 1.66 m/s2 for 6.00…

A: Given that :a=1.66 m/s2t=6 s

Q: The cheetah is considered the fastest running animal in the world. Cheetahs can accelerate to a…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A car travels in a straight line. The position of the car satisfies the following relationship as a…

A: We will first find an expression for velocity using the given position expression. Then we will…

Q: An object is moving at a constant velocity of 2.0 m/s due east from t = 0 s to t = 2 s. The object…

A: From t=0 to t=2 sec, object is moving with constant velocity. Hence, displacement is :- s=uts=2×2s=4…

Q: Problem 4: A particle moving along a straight path has an acceleration defined by a = 0.6s +3.6…

A: Given,  a = 0.6s +3.6ft/s2   At s=0 , speed (v)= 1.2 ft/s

Q: A particle has a displacement given by the equation x(t) = 3.0 + 2.0t, where x is in meters and t is…

A:

Q: Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally…

A: The distance travelled by the nerve impulse is d=1.6m

Q: An equation describing displacement (in meters) as a function of time (in seconds) of a rocket…

A:

Q: An 18-year-old runner can complete a 10.0-km course with an average speed of 4.51 m/s. A 50-year-old…

A:

Q: A car starts from rest at t = 0 s, and speeds up with a constant acceleration of 1.81 m/s2 for 6.00…

A: Please see the answer below.

Q: George, the absent-minded professor, drives his car 5.0 miles due east along a straight road to the…

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Q: 5. A cyclist rides 8.0 km east for 20 minutes, then he turns. and heads west for 8 minutes and 3.2…

A: Given, A cyclist rides 8.0 km east for 20 minutes and turns west for 8 minutes and covered  3.2 km.…

Q: Determine the magnitude of the average acceleration of the car (in m/s2). m/s2 (b) Assume that the…

A:

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.