(a) Table Q2(a) gives the values of distance travelled by a car at various times from a traffic light. Given that velocity, v = x'(t) and acceleration, a = v'(t). Solve the following: (i) (ii) (iii) Approximate SIX (6) values of the car's velocity at t = 7.5min using appropriate difference formula and a consistent step size. Answers must be in 3-decimal points. Which of the formula that you used in Q2(a)(i) potentially could provide the best approximation? Give a justification for your answer. Find the approximate acceleration of the car (in 3-decimal points) at distance 12km by considering as much data as possible.

(a) Table Q2(a) gives the values of distance travelled by a car at various times from a traffic light. Given that velocity, v = x'(t) and acceleration, a = v'(t). Solve the following: (i) (ii) (iii) Approximate SIX (6) values of the car's velocity at t = 7.5min using appropriate difference formula and a consistent step size. Answers must be in 3-decimal points. Which of the formula that you used in Q2(a)(i) potentially could provide the best approximation? Give a justification for your answer. Find the approximate acceleration of the car (in 3-decimal points) at distance 12km by considering as much data as possible.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A car takes 5.0 s to go from v=0 m/s to v=24 m/s at constant acceleration. If you wish to find the disance traveled using the equation d=1/2at squared, what value should you use for a? Express your answer to two significant figures and includ the appropraite units.
Suppose your hair grows at the rate of 1/34 inch per day. Find the rate at which it grows in nanometers per second. Because the distance between atoms in a molecule is on the order of 0.1 nm, your answer suggests how rapidly atoms are assembled in this protein synthesis.
A piece of wood moves at a velocity (measured in millimeters per year) of v(1) = r² – 3t – 4 where 1 = 1 would be the end of the first year. If a is the displacement of the wood in the first 5 years and b is the distance traveled in the first 5 years, what is a- b? None of the listed answers
A ball is thrown straight up with a speed of 20 m/s. How many seconds will it be moving upward? Answer to 3 sig figs.
If you want to go by train from Los Angeles to New York, you must make a stop. First, you musttravel 1800 miles East to reach New Orleans. Then you must travel 1300 miles at 45◦ North of Eastto reach New York.(a) Graph the vectors for each segment of the trip and the resulting displacement. Each tick markshould represent 300 miles.(b) If you flew directly from Los Angeles to New York, how far would the flight be? Please show your work
Suppose you take a round trip from home to school and goes back from school to your home with the distance of 140m. It took you 140 seconds to travel on that round trip. Compute for the average speed.
The position of a particle moving under uniform acceleration is some function of time t and the acceleration a. Suppose we write this position as x=ka™t", where k is a dimensionless constant. What values must m and n have? x = kamt"
1) A race car travels around a circular race track for which the start line and finish line are at the same location. If the race is 888km long and the radius of the track is 1.414km, how many times did the car go around the track? The race takes 2 hours and 45 minutes, what is the race car’s average velocity (in m/s) over the entire race? What is the race car’s average speed (in m/s) over the entire race?
(b) Suppose instead that the true speed of the car as a function of time is described by v(t) = 30√/t (still from t = 0 to t = 4). Sketch a graph of the car's speed vs. time. (c) Since the speed is no longer constant, it is much harder to calculate the distance traveled. But we can still try. Suppose we wanted to calculate how far the car went in the sin minute from 1:00 and 1:01. i. Let's pretend that the car's speed is constant for this single minute. What might be a reasonable approximation for the car's speed, in this scenario? (There is no one single correct answer to this question; make your best estimate.) ii. Under this assumption, approximately how far did the car go during this minute? (Hint: Don't forget that a minute is hours.) 60
A car starting from rest is accelerated for 1 m/s^2 for 4 seconds. It continues at constant velocity for 10 seconds more and then decelerates in 3 seconds until it stops. Find the total distance traveled by the car, in m.
A car travels between city A and city B, a distance of 45miles at an average speed of 50 mph. on the return journey the average speed is 40 mph. Calculate the average speed for the total journey of city A to city B to city A.
Date: 2/7/2022 Suppose you walk Dw=14 m straight west and then DN= 28 m straight north.