Solve the problem. 4) A car's distance s in miles from its starting point after t hours is given ...
Constants A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x(t)= α t2− β t3, where α = 1.60 m/s2 and β = 5.30×10−2 m/s3 . A.Calculate the average velocity of the car for the time interval t=0 to t1 = 1.90 s . B.Calculate the average velocity of the car for the time interval t=0 to t2 = 4.09...
A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x(t)= α t^2− β t^3, where α = 1.42 m/s^2 and β = 5.15×10^−2 m/s^3 a)Calculate the average velocity of the car for the time interval t=0 to t1 = 1.97 s b)Calculate the average velocity of the car for the time interval t=0 to t2 = 4.10 s c)Calculate the...
A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x(t)= α t2− β t3, where α = 1.44 m/s2 and β = 4.70×10−2 m/s3. Part A- Calculate the average velocity of the car for the time interval t=0 to t1 = 1.91 s. (answer will be in m/s) Part B- Calculate the average velocity of the car for the time...
The function s(t)=ť - 12t - 9 gives the distance from a starting point at time t of a particle moving along a line. Find the velocity and acceleration functions. Then find the velocity and acceleration at t= 0 and t=3. Assume that time is measured in seconds and distance is measured in centimeters. Velocity will be in centimeters per second (cm/sec) and acceleration in centimeters per second per second (cm/sec2). The velocity function is v(t) = (Simplify your answer.)
Given s(t) = 1, where s is in miles and is in hours, find each of the following. a) v(t) b) aft) c) The velocity and acceleration when t he d) When the distance function is given by the linear function, there is uniform motion What does uniform motion mean in terms of velocity and acceleration? a) (t) = 1 b) alt=1 c) When t = 4 the velocity is miles per hour (Simplify your answer.) When t = 4,...
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?
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 + )...
Exercise 2.6 Constants A Honda Civic travels in a straight line along a road. Its distance z from a stop sign is given as a function of time t by the equation z(t) a-B t, where a 1.53 m/s2 and B-5 30 10 2 m/s A Honda Civic travels in a straight line along a road. Its distance z from a stop sign is given as a function of time t by the equation z(t) = α-β e. Where α...
Solve the problem. Points: 2 10) If s is a distance given by s(t) = 3+4 +93 +4t, find the acceleration, a(t). 5
The velocity of truck (in miles per hour) is given by v(t) = 4(t)^3/2 + 4/t - 3, where t is in hours. a. Write a definite integral for the distance the car travels between t = 1 and t = 3. b. Sketch a graph of velocity against time and present the distance traveled during t = 1 and t = 3 hours as an area on your graph. c. Use Fundamental Theorem of Calculus to find this distance.