Given the equation x=at^p, where x is position, a is acceleration and t is time, what...
2) A. Linearize the following equation where s and t are the variables: pep B. What are the slope and intercept of your new equation? C. Check that your new equation is dimensionally correct (s is a distance, v is a velocity, a is an acceleration, and t is a time) 3) A. Linearize the following equation where D and h are the variables: B. What are the slope and intercept of your new equation? C. Check that your new...
Given position x = 2t + 5t2 (where x is in meters and t is in seconds): A. Calculate the average velocity over the time interval t = 1 s to t = 4 s. Units: m.s-1 B. What is the instantaneous velocity at t = 4 s? Units: m.s-1 C. What is the acceleration of the object? Units: m.s-2 D. In which direction is the object accelerating?
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?
just need the answers to double check mine 1 a) Linçarize the following equation where L and T are the variables; - ..T b) What are the slope and intercept of your new equation? c) check that your new equafion is dimensionally correct (L is a length, g is an acceleration, and T is a time) ar Cina 2 a) Linearize the following equation where L and'T are the variables: 2t b) What are the slope and intercept of your...
1. The position of a particle is given by the following equation: where all numerical values have the appropriate units to produce a result in meters and are accurate to three significant figures. (a) The particle begins on the yz-plane at t-0.00. At what time will the particle return to the yz-plane? (b) What will the velocity, v, of the particle be at this time? (c) When will the velocity, v, be zero? (d) What will the acceleration, ã, of...
Show that the expression v = at, where v represents speed, a acceleration, and t an instant of time, is dimensionally correct. Dimensions and Units of Four Derived Quantities Quantity Area Volume Speed Acceleration Dimensions L2 L3 UT LT2 SI units m2 m m/s m/s2 U.S. customary units ft2 ft/s ft/s2 SOLUTION (Use the following as necessary: L and T.) Identify the dimensions of v from the table above: [v] - Identify the dimensions of a from the table above...
3 a) Linearize the following equation where L and T are the variables: b) What are the slope and intercept of your new equation? c) check that your new equation is dimensionally correct ( L is a length, g is an acceleration, and T is a time)
horizontal position, x, of a particle as a function of time is given by the equation xo + vo t + ½ at' , where xa vo and ao are constants. Find the velocity as a function of time. (2) Ifx0 2.0 m and vo 2.0 m/s and ao 1.0 m/s, find the acceleration of the particle in problem (1) at the time t-10.0 s
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?
2. a) Linearize the following equation where s and t are the variables: 2 b) What are the slope and intercept of your new equation? c) Check that your new equation is dimensionally correct (s is a distance, v is a velocity, a is an acceleration. and t is a time)