A box is moving along the x-axis and its position varies in time according to the...
A crate is moving along the x-axis and its position varies in time according to the expression x = (5.00 m/s2)t2, where x is in meters and t is in seconds. (a) Determine its position (in m) at t = 2.20 s. m (b) Determine its position (in m) at t = (2.20 s) + Δt. (Use the following as necessary: Δt. Do not include units in your answer.)xf = m (c) Evaluate the limit of Δx Δt as Δt...
A crate is moving along the x-axis and its position varies in time according to the expression x = (6.00 m/s2)t2, where x is in meters and t is in seconds. Evaluate the limit of Δx Δt as Δt approaches zero to find the velocity (in m/s) at t = 4.00 s.
An object is moving along the x-axis and its position varies in time according to the expression x = (3.00 m/s2r2, where x is in meters and t is in seconds (a) Determine its position (in m) at t-3.40 s (b) Determine its position (in m) at t (3.40 s) + Δ. (Use the following as necessary: Δ. Do not include units in your answer.) (e) Evaluate th as At approaches zero to find the velocity (in m/s) at t...
The position of a particle moving along the x axis varies in time according to the expression x = 3t2, where x is in meters and t is in seconds. Evaluate its position (a) at t = 3.00 s and (b) at 3.00 s + Dt. (c) Evaluate the limit of Dx/Dt as Dt approaches zero, to find the velocity at t = 3.00 s.
x axis varies in time according to the expression x 6t2, where x is in meters and t is in seconds. Evaluate its position at the following times (a) t-2.90 s (b) t 2.90 s + ar (c) Evaluate the limit of Arat as Δt approaches zero to find the velocity at t-2.90 s. m/s Need Help? Read I
Average and Instantaneous Velocity A particle moves along the x axis. Its position varies with time acording to the expression x =-4t + 2t2, where x is in meters and t is in seconds. The position-time graph for this motion is shown in the figure. Notice that the particle moves in the negative x direction for the first second of motion, is momentarily at rest at the moment t = 1 s, and moves in the positive x direction at times...
The position of a particle moving along the x axis depends on the time according to the equation x = ct3 - bt7, where x is in meters and t in seconds. Let c and b have numerical values 2.5 m/s3 and 1.4 m/s7, respectively. From t = 0.0 s to t = 1.4 s, (a) what is the displacement of the particle? Find its velocity at times (b) 1.0 s, (c) 2.0 s, (d) 3.0 s, and (e) 4.0...
A 5.60-kg particle moves along the x axis. Its position varies with time according to x = t + 4.0t3, where x is in meters and t is in seconds. (a) Find the kinetic energy of the particle at any time t. (Use the following as necessary: t.) K = (b) Find the magnitude of the acceleration of the particle and the force acting on it at time t. (Use the following as necessary: t.) a = F = (c)...
The position of an object moving along an x axis is given by x = 3.03 t - 4.04 t2 + 1.08 t3, where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 4 s? (f) What is its average velocity from t...
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...