Consider a different car. Its initial position at time 5 s is 5m, and it moves at a constant velocity of -2m/s. Derive an expression for its position as a function of time (x(t)=?), and plot its position as a function of time on the graph below. (with graph)
Consider a different car. Its initial position at time 5 s is 5m, and it moves...
A race car moves such that its position fits the relationshipx=(0.5m/s)t+(0.75m/s2)t2 where:x in meters (m) and t in second (s)Plot a graph of position vs. timeDetermine the instantaneous velocity at 4 sec, using a time interval of 0.2 secCompare the average velocity during the first 4 sec with the results.Show graph and solution
A car moves with a constant velocity. Sketch its position vs time graph.
1. A particle moves in one dimension, and its position vs. time is described by the function x0) e (t in seconds, x in meters) (a) At what time(s) is its velocity zero? At what time(s) is its acceleration zero? (b) Make a computer plot(Excel, Matlab or whatever you wish) of x vs. t from 1-o to 5 s. (c) What do you expect to see on the x vs. t graph at the time(s) that v-o? What do you...
A race car moves such that its position fits the relationship x = (4.0 m/s)t + (0.60 m/s3)t3 where x is measured in meters and t in seconds. (a) A plot of the car's position versus time (b) Determine the instantaneous velocity of the car at t = 3.6 s, using time intervals of 0.40 s, 0.20 s, and 0.10 s. (In order to better see the limiting process keep at least three decimal places in your answer.) Δt =...
Average and Instantaneous Velocity A particle moves along the x axis. Its position varies with time acording to the expression x =-4t + 2t2, where x is in meters and t is in seconds. The position-time graph for this motion is shown in the figure. Notice that the particle moves in the negative x direction for the first second of motion, is momentarily at rest at the moment t = 1 s, and moves in the positive x direction at times...
A car accelerates from rest at S m/s for 5 seconds. It moves with a constant velocity for 15 seconds, and then decelerates at 5 m/s to come to rest in 5 seconds. The entire journey takes 25 seconds. Plot the velocity-time graph of the motion AND determine the total distance the car travelled. (10 pts.) 4.
A race car moves such that its position fits the relationship x = (5.5 m/s)t + (0.60 m/s3)t3 where x is measured in meters and t in seconds. (a) A plot of the car's position versus time is which of the following? (b) Determine the instantaneous velocity of the car at t = 5.0 s, using time intervals of 0.40 s, 0.20 s, and 0.10 s. (In order to better see the limiting process keep at least three decimal places...
1. A car moves along a straight street. The car's initial position at time tı is given by a position vector . The car's Iater position vector is at time ta. Suppose 700 mi and x, 400 mi a. If -丸= 3.0 seconds, what is the car's average speed (assuming the car only moved in one direction)? b. What was the car's average velocity?
A car moves along a straight street. The car’s initial position at time t1 is given by a position vector x! . The car’s later position vector is x2! at time t2. Suppose x1! = 700 miˆ . and x2! =400miˆ. a. If t2 – t1 = 3.0 seconds, what is the car’s average speed (assuming the car only moved in one direction)? b. What was the car’s average velocity?
12. A drag racing car starts from rest at 0 and moves along a straight line with velocity given by v br, where b is a constant. The expression for the distance traveled by this car from its position at t0 is: 13. This graph shows the velocity of a particle as a function of time. During what interval is its displacement negative? v(ms) A)0-2s B) 2s-5s C)5s-9s D) 0-9s E) Its displacement is not negative 12F- t(s) between 0...