Question

The x and y coordinates of a tourist (in meters) as a function of time t...

The x and y coordinates of a tourist (in meters) as a function of time t are given by the following equations:

x(t) = 2.10t2 + 3.30t +10.0

y(t) = 2.50t2 - 7.70t +20.0

a) Find the coordinates of the tourist in the form of (x,y) at times t = 1.0 s and t = 3.5 s

b) Use your answer in part (a) to determine the tourrist's desplacement beween t = 1.0s and t = 3.5s

c) Use your answer in part (b) to detrmine the tourist's average velocity between  t = 1.0s and t = 3.5s

d) Determine the velocity of the tourisst at t = 3.0s

e) Use your answer in part (d) to detrmine the madnitude and angle of the velocity of the tourist at t = 3.0s

f) At any given point of time, is the acceleration of the tourist increasing, decreasing, or constant?

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
The x and y coordinates of a tourist (in meters) as a function of time t...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • The coordinates of a bird flying in the xy-plane are given by x(t)=αt and y(t)=3.0m−βt2, where...

    The coordinates of a bird flying in the xy-plane are given by x(t)=αt and y(t)=3.0m−βt2, where α=2.4m/s and β=1.2m/s2 -sketch the bird path between t=0 and t=2 s. calculate the acceleration and velocity vectors of the bird as functions of time. calculate the magnitude and direction of the bird velocity and acceleration at t=2s. sketch the velocity and acceleration vectors at t=2 at this instant, is the bird's speed increasing, decreasing or not changing? is the bird turning? if so,...

  • 2. Each of four particles moves along an x axis. Their coordinates (in meters) as functions...

    2. Each of four particles moves along an x axis. Their coordinates (in meters) as functions of time (in seconds) are given by particle 1: x(t) 3.5-2.7t particle 3: x(t) 35+2.7t? particle 2: x() 3.5+2.7 particle 4: x() 3.5-3.4t -2.7P For which of these particles is the velocity increasing for t>0? 3. Vetos Aand B le iauce that A - Bits D) A,IA, -B, B E) A, -A, and B,-B

  • The velocity-versus-time graph is shown for a particle moving along the x-axis. Its initial position is x0 = 1.8 m at t0 = 0 s. (Figure 1)

    The velocity-versus-time graph is shown for a particle moving along the x-axis. Its initial position is x0 = 1.8 m at t0 = 0 s. (Figure 1) Part A What is the particle's position at t = 1.0 s ? Part B What is the particle's velocity at t = 1.0s? Part C What is the particle's acceleration at t = 1.0 s? Part D What is the particle's position at t = 3.0s? Part E What is the particle's velocity at t = 3.0s? Part...

  • The position of a particle as a function of time is given by x=(2.0m/s)t+(−3.0m/s3)t^3. Part A...

    The position of a particle as a function of time is given by x=(2.0m/s)t+(−3.0m/s3)t^3. Part A Plot x versus t for time from t=0 to t=1.0s. Part B Find the average velocity of the particle from t = 0.25 s to t = 0.35 s . Part C Find the average velocity of the particle from t = 0.29 s to t = 0.31 s . Part D Do you expect the instantaneous velocity at t = 0.30 s to...

  • The position of a ball as a function of time is given by x= (4.3m/s)t +...

    The position of a ball as a function of time is given by x= (4.3m/s)t + (-11m/s2)t2. what is the acceleration of the ball? what is the average velocity of the ball from t=0s to t=1.0s. find the average speed of the ball between t=1.0s and t=2.0s I would like to see the units used in a solution.

  • A squirrel has x- and y-coordinates ( 1.0 m , 3.2 m ) at time t1=0...

    A squirrel has x- and y-coordinates ( 1.0 m , 3.2 m ) at time t1=0 and coordinates ( 5.8 m , -0.10 m ) at time t2 = 3.1 s . Part A) For this time interval, find the x-component of the average velocity. Vx=? m/s Part B) For this time interval, find the y-component of the average velocity. Vy= ? m/s Part C) Find the magnitude of the average velocity.Part B) For this time interval, find the y-component...

  • The coordinates of a bird flying in the xy-plane are given by x(t)=αt and y(t)=3.0m−βt2, where...

    The coordinates of a bird flying in the xy-plane are given by x(t)=αt and y(t)=3.0m−βt2, where α=2.4m/s and β=1.2m/s2 1.Calculate the velocity vector of the bird as a function of time. Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3 and the y component is 4, then you should enter 3,4. 2.Calculate the acceleration vector of the bird as a function of time. Give your answer as...

  • The function y(x, t) = (0.150 m) cos(x − 15t) where x is in meters, and...

    The function y(x, t) = (0.150 m) cos(x − 15t) where x is in meters, and t is in seconds, describes a transverse wave on a taught string. a) What is the transverse velocity of a point on the string at an instant in time when y = +0.120 m? b) What is the maximum transverse velocity a point on the string can have? c) What is the average transverse velocity of a point on the string averaged over an...

  • Exercise 3.1 - Enhanced with Solution A squirrel has r- and y- coordinates (1.3 m, 3.5...

    Exercise 3.1 - Enhanced with Solution A squirrel has r- and y- coordinates (1.3 m, 3.5 m) at time ti 0 and coordinates (5.2 m, -o.10 m) at time t2 2.6 s You may want to review (Pages 67-70) For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Calculating average and Part A For this time interval, find the x-component of the average velocity. Express your answer using two significant figures. ANSWER m/s...

  • The X and Y coordinates (in meters) of station Shore are 248.107 and 654.204, respectively, and...

    The X and Y coordinates (in meters) of station Shore are 248.107 and 654.204, respectively, and those for station Rock are 438.201 and 974.381, respectively. Part A What is the slope of the line? Express your answer to six significant figures. V AED 1 vec R o ? Submit Request Answer Part B What is the y-intercept of the line? Express your answer to six significant figures and include the appropriate units. Valio || Units

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT