Question

A race car moves such that its position fits the relationship x = (4.0 m/s)t + (0.65 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? WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (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 = 0.40 s m/s (Use the interval from t = 3.40 s to 3.80 s.) Δt = 0.20 s m/s (Use the interval from t = 3.50 s to 3.70 s.) Δt = 0.10 s m/s (Use the interval from t = 3.55 s to 3.65 s.) (c) Compare the average velocity during the first 3.6 s with the results of part (b). The average velocity of m/s is about the same as the instantaneous velocity.

Answer 1