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 = 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 the instantaneous velocity.
A race car moves such that its position fits the relationship x = (4.0 m/s)t +...
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...
A race car moves such that its position fits the relationship x (6.0 m/s)t +(0.85 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? x (m) 240 x (m) 240 220 200 18 16 12 14 60 r (s) t (s) 1.00 2.00 3.00 4.00 5.00 6.00 1.00 2.00 3.00 4.00 5.00 6.00 x (m) 30 25 x (m) 15 r (s) t (s)...
SerCP11 2.1.P018 A race car moves such that its position fits the relationship x - (4.0 m/s)t + (0.70 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? x (m) 180 160 140 120 100 80 60 40 20 x (m) 200 180 160 140 120 100 80 60 40 20 t (s) t (s) 1.00 2.00 3.00 4.00 5.00 6.00 1.00 2.00 3.00...
A race car moves such that its position fits the relationship (4.5 m/s(0.85 m/s33 whera x is meaured in meters and t in seconds. (a) A plot of the car's position versus time i which of the following? x (m) 240 25 t (s) t (s) 1.00 2.00 3.00 4.00 5.00 6.00 .00 2.00 3.00 4.00 5.00 6.00 x (m) x (m) 220 18 160 14 120 10 r (S) r (s) 1,00 2.00 3.00 4.00 500 6.00 1.00 2.00...
A race car moves such that its position fits the
relationship
x = (5.5 m/s)t + (0.85
m/s3)t3
where x is measured in meters and t in
seconds.
(b) bo termine the instantane os decimal places in your answer.) elocity or the ear at t 、75, using time intervals of 0 40 s, o 20 s, and 0.10 s (in order to better see the limiting process keep at least three t65 68 n iO% of the correct value. This...
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
1)Two boats start together and race across a 48-km-wide lake and back. Boat A goes across at 48 km/h and returns at 48 km/h. Boat B goes across at 24 km/h, and its crew, realizing how far behind it is getting, returns at 72 km/h. Turnaround times are negligible, and the boat that completes the round trip first wins. A) By how much? B)What is the average velocity of the winning boat? 2)A race car moves such that its position...
Can
someone help me solve this with steps. Thank you!!
1 points SerCP11 2.1.P.018 My Notes A race car moves such that its position fits the relationship x (4.0 m/s)t (0.90 m/s 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? x (m) 35 x (m) 25 t (s) 1.00 2.00 3.00 4.00 5.00 6.00 .00 2.00 3.00 4.005.00 6.00 x (m) 220 160 80...
4. A car's position as a function of time is given by the following equation: x(t)-5 m/s t+2.8 m/s2 t-0.15 m/s3 t3. a. Find the average velocity from 0 to 5 s b. Find the instantaneous velocity at 0, 3, and 5s. c. Find the average acceleration from 0 to 5 s. d. Find the instantaneous acceleration at 0, 3, and 5 s. e. At what POSITIVE time does the car come to rest?
Page of 3 8) A car travels a distance straight down the road according to the equation x (r)=ara_b? . where a-2 m/s2 and b-0.1 m/s3 a) Calculate the average velocity of the car for the time interval t-0 s to t-10 s. b) Calculate the instantaneous velocity of the car at t-0 s, t-1 s, and t-5s. c) Other than at t-0, when is the car at rest? 9) The graph shows a car's position as a function of...