(b) Make an overestimate of the distance traveled for -3≤t≤3 by counting all squares that lie not above the curve.
Enter the answer to the nearest integer.
Overestimate | = |
Make an underestimate of the distance traveled for -3≤t≤3 by
counting only those squares that lie fully beneath the curve.
Underestimate | = |
(b) Make an overestimate of the distance traveled for -3≤t≤3 by counting all squares that lie...
(1490) Problem 3: A particle's velocity along the x-axis is described by v(t) = A t+B? where t is in seconds, v is in meters per second, A = 0.85 m/s2. and B =-0.64 m/s- 33% Part (c) What is the distance traveled, in meters, by the particle between times t0 = 1.0 s and t1-3.0 s? -3.0 s?
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.)
1095 (1999AB, Calculator). A particle moves along the y-axis with velocity given by v(t) = t sin(t?) for t 0. a) In which direction (up or down) is the particle moving at time t = 1.5? Why? b) Find the acceleration of the particle at time t = 1.5. Is the velocity of the particle increasing at t = 1.5? c) Given that y(t) is the position of the particle at time t and that y(0) = 3, find y(2)....
finding the total displacement and Total distance traveled Your task is to estimate how far an object traveled during the time interval U X t X 8, but you only have the following data about the velocity of the object. time (sec) 012345 6 7 8 velocity (feet/sec) 1 2414-2-1-2-3 To get an idea of what the velocity function might look like, you pick up a black pen, plot the data points, and connect them by curves. Your sketch looks...
please answer all questions For 1 2 0, a particle moves along the r-axis. The velocity of the particle at time t is given by r(t)-1 + 2sin(2) Theparticle is atposition x = 2 attimet=4. (a) At time t-4, is the particle speeding up or slowing down? (b) Find all times t in the interval o<t<3 when the particle changes direction. Justify your answer. (c) Find the position of the particle at time t 0. (d) Find the total distance...
Please make sure to explain, make sure answer is correct and neat. Thank you! 3. Show that the time taken by a particle moving along a curve y = y(x) with velocity, ds dt center on the x-axis. Hint: t = Jo x x from the point (0,0) to the point (1,1) is minimum if the curve is a circle having its 1 ds
point) Your task is to estimate how far an object traveled during the time interval 0 S t S 8, but you only have the following data about the velocity of the object. time (sec) 01 2 3 4 5678 velocity feet/sec)-24-3-4-2-3231 get an idea of what the velocity function might look like, you pick up a black pen, plot the data points, and connect them by curves. Your sketch looks something e the black curve in the graph below....
the first pictures equation is 4/(t^3 +1) CB 2 x c 0 College Board AP Classroom 8.2 PARTICLE MOTION Mala Nou - 6 0 -6-0-0-0-0-0 Question 1 A particle moves along the x-axis. The velocity of the particle at time is given by v(t) 42 If the position of the particle is z - I when t-2, what is the position of the particle when (A) 0.617 B) 0.647 1.353 D ) 5.712 CB x C 0 B . College...
For t ≥ 0, a particle moves along the x-axis. The velocity of the particle at time t is given by v(t)=1+2sin(t^2/2). The particle is at x=2 at time t=4. a)Find position of particle at t=0 b)Find the total distance the particle travels from time t=0 to time t=3
5) The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a line. (3 points) a(t) = 5t + 2, v(0) = 6, Osts 4 a) Find the velocity at time t. b) Find the distance traveled during the given time interval. 2) Let F(x) = set? dt. Find an equation of the tangent line to the curve y = F(x) at the point with X-coordinate 2. (2 points)