A particle moves along two dimensions based on the following position vector r= [2.0 m + (3.00 m/s)f ]i + [(3.0 m)t - (2.00 m/s2)rlj a. Find the distance it covered in the first minute. b. Find the general expression of the instantaneous acceleration of the particle

Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally steps barefoot on a pebble. About how much time does it take the nerve impulse to travel from the foot to the brain (in s)? Assume the person is 1.60 m tall and the nerve impulse travels at uniform speed.

The position of a particle moving along the x axis is given by x= (21 + 22t - 5.0t?)m , where tis in s. What is the average velocity during the time interval t= 1.0 s to t=3.0 s? O a. 14 m/s О b. 10 m/s О с. 2 m/s O d. 18 m/s O e. 6 m/s

Chapter 02, Problem 10 In reaching her destination, a backpacker walks with an average velocity of 1.26 m/s, due west. This average velocity results, because she hikes for 6.62 km with an average velocity of 2.54 m/s due west, turns around, and hikes with an average velocity of 0.381 m/s due east. How far east did she walk (in kilometers)? dw VE West East dɛ Number Units the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work

Problems 1 through 3, treat the motion of a particle which moves along the s-axis shown in the figure. 0 1 2 3 +s, ft or m 1. The acceleration of a particle is given by a = 2t - 10, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is so = -4 m, and the initial velocity is vo= 3 m/s. (5 points) 2. The acceleration of a particle is given by a = -ks² where a is in meters per second squared, k is a constant, and s is in meters. Determine the velocity of the particle as a function of its position s. Evaluate your expression for s = 5 m ifk = 0.1 m¹s2 and the initial conditions at time t = 0 are so= 3 m and vo= 10 m/s. (5 points) 3. The acceleration of a particle which is moving along a straight line is given by a = -k√√v, where a is in meters per second squared, k is a constant, and v is the velocity in meters per second. Determine the velocity as a function of both time t and…

a cat is setting at the end of a long hallway. a mouse is running away from the cat , at a constant velocity of 1.58 m/s. whe the mouse is 3.43 meters away from the cat, the cat gets up and accelerates from rest at a constant rate of 1.99 m/s squared to catch the mouse.How much time does it take the cat to catch the mouse?  How far does the cat run before catching the mouse?

the figure. 2 For t> 3 s. ✓ Correct! The position as a function of time for a particle moving along the x-axis is shown v(mis) - is the partiele moving in the X ✓ Correct! x(m) 1 0.75 0.5 0.25 A Otheexp The position of the particle as a function of time is given by x(t) = e(t - 3)², where x is in meters and t is in seconds. What is the v the particle, in meters per second, at t = 2.9 s? v(t) = 1

Problem 3: You throw an object up with a speed of voy = 7 m/s from a height of y = 25 m. %3D Part (a) How long, in seconds, does it take for the object to reach the ground? Numeric : A numeric value is expected and not an expression. %3D

An object is thrown straight upward with an initial velocity of 11.7 m/s. What is the object's maximum upward displacement? Enter a number assuming proper SI Units.