The vector position of an object varies according to r(t) (29.0 m)i [(2.00 m/s2)t2lj, where t...
The vector position of an object varies according to r(t) = (24.0 m)i + [(2.00 m/s2)t2]j, where t is in seconds. (a) Determine the magnitude of the position vector at t = 5.00 s. (b) Determine the magnitude of the velocity vector at 5.00 s. A boy stands on a diving board and throws a stone into a swimming pool. The stone is thrown from a height of 2.93 m above the water surface with a velocity of 5.26 m/s...
The vector position of a particle varies in time according to the expression r = 8.20 i-5.60p j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) x m/s Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) X m/s2 (c) Calculate the particle's...
The vector position of a particle varies in time according to the expression r with arrow = 7.40 î − 5.00t2 ĵ where r with arrow is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) v with arrow = m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol...
The vector position of a particle varies in time according to the expression r-7.40 i-8.20t2 j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and velocity...
The vector position of a particle varies in time according to the expression - 6.20 - 9.00-2, where † is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any varlable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and...
I have to submit the answer without the units attached to it so please dont include units in final answer, thanks! The vector position of an object varies according to r(t) (25.0 m)i [(1.00 m/s2)t2lj, where t is in seconds. Determine the magnitude of the position vector at t 1.00 s. Answer: Check Determine the magnitude of the velocity vector at 1.00 s. Answer: Check
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 vector position of a particle varies in time according to the expression - 3.80 i - 6.601; where is in meters and is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) - m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s? (c) Calculate the particle's position and...
An object has a position given by r 2.0 m + 4.00 m/s t i t 3.0 m (3.00 m/s2)2 J , where quantities are in SI units. What is the speed of the object at time t = 2.00 s? O 10.1 m/s O 17.7 m/s O 12.6 m/s O 15.2 m/s O 7.59 m/s
The vector position of a 3.55 g particle moving in the xy plane varies in time according to r1 = (3î + 3ĵ)t + 2ĵt2 where t is in seconds and r is in centimeters. At the same time, the vector position of a 5.80 g particle varies as r2 = 3î − 2ît2 − 6ĵt. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.60 s. b) Determine the linear...