4. A car's position as a function of time is given by the following equation: x(t)-5...
A car’s position as a function of time is given by the following equation: x(t) = 5 m/s t + 2.8 m/s2t2– 0.15 m/s3t3. Find the average velocity from 0 to 5 s. Find the instantaneous velocity at 0, 3, and 5 s. Find the average acceleration from 0 to 5 s. Find the instantaneous acceleration at 0, 3, and 5 s. 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...
4. The position of an object as a function of time is given by x(t) at-bt ct-d, where a 3.6 m/s, b 4 m/s, c = 60 m/s and d= 7 m. (a) Find the instantaneous velocity at t =24 s. (b) Find the average velocity over the first 2.4 seconds, (c) Find the instantaneous acceleration at 2.4 s, (d) Find the average acceleration over the first 2.4 seconds. (Be sure to include the correct signs) (a) and (c) are...
The position of a particle as a function of time is given by x=(2.0m/s)t+(−3.0m/s3)t^3. Part A Plot x versus t for time from t=0 to t=1.0s. Part B Find the average velocity of the particle from t = 0.25 s to t = 0.35 s . Part C Find the average velocity of the particle from t = 0.29 s to t = 0.31 s . Part D Do you expect the instantaneous velocity at t = 0.30 s to...
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 =...
Cathy's car's acceleration is given by the following equation a =(4 m/s3 )t A) Sketch Cathy's motion on the three graphs below. Velocity (m/s) a х (m/s) (m) 0 Time (s) Time (s) Time (s) What is the equation that describes Cathy's car's velocity? B) 3)B) What is the equation that describes Cathy's car's displacement? C) 3)C) Page 2 of 4
3.) The position of a particle is given by x(t) = 3t3 – 2t2 – 5t + 10, where t is in seconds and x is in meters. Find the initial position of the particle. Find the position of the particle after 5 seconds. Find the average velocity from 0 sec to t = 5sec Find the instantaneous velocity as a function of time Find the instantaneous velocity at t = 2 seconds. Find the instantaneous velocity at t=4 seconds...
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...
2. A car moves on a straight road. The car's position at time t is given by s(t) = t+ sin t where s is in meters and t in seconds. Find the acceleration at t = Pi/4;s.
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)...