Given s(t) = 1, where s is in miles and is in hours, find each of...
Given s(t)-5t +10t, find (c) the velocity and acceleration when t-2 (a) vt) (b) a(t) (c) When t- 2, the velocity isfeet per second ее (Simplify your answer.) When t-2, the acceleration is feet per second squared. (Simplify your answer)
Given s(t)-5t +10t, find (c) the velocity and acceleration when t-2 (a) vt) (b) a(t) (c) When t- 2, the velocity isfeet per second ее (Simplify your answer.) When t-2, the acceleration is feet per second squared. (Simplify your answer)
Given s(t)= +2t, where s(t) is in feet and t is in seconds, find each of the following. a) v(t) b) a(t) c) The velocity and acceleration when t=2 sec a) v(t)= b) a(t)=0 c) When t= 2 sec, the velocity is | (Simplify your answer.) When t = 2 sec, the acceleration is (Simplify your answer.)
Given s(t) = 2+ + 4t, where s(t) is in feet and t is in seconds, find each of the following. a) v(t) b) aſt) c) The velocity and acceleration when t= 2 sec a) v(t) = b) a(t) = c) When t = 2 sec, the velocity is (Simplify your answer.) When t = 2 sec, the acceleration is (Simplify your answer.)
vProblem: A possible model for a sprinter's velocity is given by Vx=a(1-e^(-bt))where t is in seconds, vx is in m/s, and the constants a and b are characteristic of the sprinter. Assume Sprinter A runs the 100-meter dash following this prescription with a = 11.81 m/s and b = 0.6887 s-1. a) Find an expression for Sprinter A’s acceleration as a function of time t. b) Find an expression for the distance traveled by Sprinter A as w.r.t. time t....
A car travels in a straight line covering a total distance of 90.0 miles in 60.0 minutes. Which one of the following statements concerning this situation is necessarily true? a. b. C. d. e. The average velocity of the car is 90.0 miles per hour in the direction of motion The speed of the car must be 90.0 miles per hour throughout the entire trip The velocity of the car is constant. The acceleration of the car must be non-zero....
1)a)The acceleration of a car is given by the function a(t) = sin(t) m / s² at time t s. The average acceleration for 0 ≤ t ≤ π s is _____ m / s². Round your answer to two decimal places. b) The acceleration is given by a(t) = 4t at time t s. The initial position is 1 m, and, the initial velocity is 3 m / s. At time t = 4 s, the position is _____...
At time t in minutes, an object's distance from a point is given by s(t) - 2+5 inches. Use this information to answer the questions below. (a) Find the average velocity of the object between t - 1 and t - 3 minutes. Give an exact answer. Average velocity - --Select v (6) Which of the following represents the mathematical definition of s'(3)? s(3) - lim (213+ + 5) - (e2+ + 5) os(3) - lim (M+ 5 + )...
A particle moves with position given by s(t) = t 1 with t > 0. + where s is in meters and t is in seconds (a) Find the velocity function u(t). (b) Find v(2). Include units in your answer. (c) Find the acceleration function a(t). (d) When is the particle at rest? (You only need to consider t 0.) (e) Find the total distance traveled by the particle on 0 STS 3.
1). In a uniform circular motion, instantaneous velocity is tangent to the circle a) True b) False c) Can's say 2).In a uniform circular motion, acceleration is normal to the velocity and directed toward the center a) True b) False c) Unknown 3). For a particle of mass 'm' moving with a uniform velocity 'v'in a circle of radius 'r', write the expression for centripetal force (Fc)? 4). If a particle rotates in a circle of radius r = 10...
The acceleration of a particle is given by a = 7t-14, 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 S0 -4 m, and the initial velocity is Vo 6 m/s. Once you have determined the functions of time, answer the questions Questions: when t = 5.8 s, v= m/s m/s?