Example 2-3: Given x as a function of t. Try to do this problem, right now!...
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...
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 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)...
1. A particle is moving along a (horizontal) x-axis. Its position as a function of time is given by the equationAt2 B where A-2.10 and B-2.80 and t is in seconds. (i) What are the proper units for A and B in SI units (show your work) (ii) Determine the displacement of the particle during the time interval from -3.00 s to 12 5.00 s. iii) Determine the average velocity (think secant line!) during this time interval (iv) Determine the...
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...
3. The position of an object as a function of time in x-and y-coordinate system is given by n-( e k-cy where a 2m.b-5m's, and c- 10 m Find the (a) s- and (b) y components of instantaneous velocity at (e) speed of the objoct at r "3 s (d) total displacement of the object during 3
The position of a particle as a function of time is given by r(t)=(-3.0m/s)ti +(6.0m)j+[ 7.0m-(4.0m/s^3)t^3]k a. what is the particle's displacement between t1=0 and t2=2.0s? b. determine the particle's instantaneous velocity as a function of time. c. what is the particle's average velocity between t1=0s and t2=2.0s? d. Is there a time when the particle has a velocity of zero? e. Determine the particle's instantaneous acceleration as a function of time? Can you please explain the formulas you used...
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?
1. Which of the following equations are dimensionally correct? a.) V = V1 + ax (10p) b.) y = (2m)cos(kx), where k = 2m-1 (10p) 2. Given the vectors A = 2.001 + 6.00j andB = 3.00i + 2.00j. a.) draw the vector sum C = A + B and the vector differenceD = A - B. (10p) b.) Calculate C and D, first in terms of unit vectors and then in terms of polar coordinates, with angles measured with...