3. A particle's position along the x-axis as a function of time is given by x(t) = 7.0- 12t + 2.5t² where x is in meters and t is in seconds. a) Determine this particle's initial position, its initial velocity, and its acceleration. You can compare it to a kinematics equation or simply use calculus. b) Note that the initial velocity is negative. At what time will the particle start moving in the positive direction - that is, when will its velocity be zero, just about to become positive? c) Where will the particle be at that time?

3. A particle's position along the x-axis as a function of time is given by x(t) = 7.0- 12t + 2.5t² where x is in meters and t is in seconds. a) Determine this particle's initial position, its initial velocity, and its acceleration. You can compare it to a kinematics equation or simply use calculus. b) Note that the initial velocity is negative. At what time will the particle start moving in the positive direction - that is, when will its velocity be zero, just about to become positive? c) Where will the particle be at that time?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter3: Motion Along A Straight Line

Section: Chapter Questions

Problem 79P: Between t=0 and t=t0 , a rocket moves straight upward with an acceleration given by a(t)=ABt1/2 ,...

See similar textbooks

Similar questions

Clay Matthews, a linebacker for the Green Bay Packers, can reach a speed of 10.0 m/s. At the start of a play, Matthews runs downfield at 45 with respect to the 50-yard line and covers 8.0 m in 1 s. He then fins straight down the field at 90 with respect to the 50-yard line for 12 m, with an elapsed time of 1.2 s. (a) What is Matthews’ final displacement from the start of the play? (b) What is his average velocity?
Between t=0 and t=t0 , a rocket moves straight upward with an acceleration given by a(t)=ABt1/2 , where A and B are constants. (a) If x is in meters and t is in seconds, what are the units of A and B ? (b) If the rocket starts from rest, how does the velocity vary between t=0 and t=t0 ? (c) If its initial position is zero, what is the rocket’s position as a function of time during this same time Interval?
A cyclist rides 8.0 km east for 20 minutes, then he turns and heads west for 8 minutes and 3.2 km. Finally, he rides east for 16 km, which takes 40 minutes. (a) What is the final displacement of the cyclist? (b) What is his average velocity?
A swan on a lake gets airborne by flapping its wings and running on top of the water. (a) If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of 0.35m/s2 , how far will it travel before becoming airborne? (b) How long does this take?
A motorist drives for 35.0 minutes at 85.0 km/h and then stops for 15.0 minutes. He then continues north, traveling 130. Km in 2.00 h. (a) What is his total displacement? (b) What is his average velocity?
Consider an object moving along a line with the given velocity v. Assume time t is measured in secondsand velocities have units of m/s.a. Determine when the motion is in the positive direction and when it is in the negative direction.b. Find the displacement over the given interval.c. Find the distance traveled over the given interval.v(t) = 50e-2t on [0, 4]
Physics 30S Science & Technology 2240 Grant Ave. Winnipeg. MB R2C IL6 Shaflesbury High School Motion: Speed/Velocity & Acceleration Ad V = At a = Average Velocity, 1. A man jogs 5.0 km (5000 m) in 27 minutes. a) What is the time interval (At) in seconds? b) Calculate his average speed in metres per second (m/s). Average Acceleration, At 2. An object has a position of 13 metres west. 5.0 seconds later it's at 7 metres east. a) What was the initial position? b) What was the change of position or displacement (Ad)? c) What was the average velocity? 3. A world class sprinter runs 100.0 m in 8.90 s. What was his average speed? 4. A hiker gets lost in a forest. He walks half-way around a circle with a radius of 2.1 km in 2.0 hours. a) What distance did he walk? b) What was his average speed? c) What was his displacement? d) What was his average velocity? WE S C-2rr 5. A car has an average highway speed of 90 km/h or 25 m/s. At this speed; how long will it take to drive to Kenora which is 190…
1. A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates versus time aregiven by the following expressions: x = (18 m/s)t and y = (4 m/s)t - (4.9 m/s2)t2. a)Write a vector expression for the ball’s position as a function of time, using the unitvectors i and j. Write expressions for b) the velocity vector as a function of time andc) the acceleration vector as a function of time. Now, write expressions for d) theposition, e) the velocity, and f) the acceleration of the ball, all at t = 3 s.
A stone is thrown vertically upward with a speed of 17.6 m/sm/s from the edge of a cliff 75.0 mm high. A.)How much later does it reach the bottom of the cliff? Express your answer to three significant figures and include the appropriate units. B.)What is its speed just before hitting? Express your answer to three significant figures and include the appropriate units. C.)What total distance did it travel? Express your answer to three significant figures and include the appropriate units.
Hi I am in phyiscs I and it has the problem a runner ran the marathon (approx. 26.1) in 2 hours and 57 min. What was the average speed of the runner in m/s? I understand that I would have to divide the total distance by the total time, but I'm not sure how they changed the miles to meters. Please break it down so I can understand. I tried to solve it how you guys did it but I keep getting another answer. Thank you!
1. Treat the motion of a particle which moves along the s-axis as shown. + 8, ft or m -1 1. 2. 3. The velocity of a particle is given by v where v is in meters per second and t is in seconds. 20r 120t + 25, Plot the velocity versus time graph for the first 10 seconds. Show the zero acceleration. b. Referring to Situation A, what is the velocity of the partidle when the acceleration becomes a. zero. Plot the acceleration versus time graph for the first 10 seconds. d. Describe the slope of the velocity and discuss its relationship to the acceleration of the particle. C.
percise 21 b. How far did he walk (distance (D)) zero speed. a. How long was he out of the house (the time interval At in seconds)? it took him two minutes to leave and come back, calculate the following: he realises that he does not have enough money, and goes back home. If 1. Bongani has to walk to the shop to buy some milk. After walking 100 m, c What was his displacement (A 4 What was his average velocity (in m -s-? a What was his average speed (in m s-)? Ongel 2 minutes there and back 100 m shop home 100