A cheetah is crouched 20m to the east of an observer's vehicle. At time t=0 the cheetah charges an antelope and begins to run along a straight line. During the first 2.0 s of the attack, the cheetah's coordinate x varies with time according to the equation x=20m +(5.0m/s2) t². (a.) Find the displacement of cheetah between t, = 1.0s and t, = 2.0s (b.) Find the average velocity during the same time interval. (c.) Find the instantaneous velocity at t, = 1.0s by taking At = 0.1s, then At = 0.01s then At = 0.001s (d.) Derive a general expression for the instantaneous velocity as function of time and from it find v, at t=1.0 s and t=2.0s

A cheetah is crouched 20m to the east of an observer's vehicle. At time t=0 the cheetah charges an antelope and begins to run along a straight line. During the first 2.0 s of the attack, the cheetah's coordinate x varies with time according to the equation x=20m +(5.0m/s2) t². (a.) Find the displacement of cheetah between t, = 1.0s and t, = 2.0s (b.) Find the average velocity during the same time interval. (c.) Find the instantaneous velocity at t, = 1.0s by taking At = 0.1s, then At = 0.01s then At = 0.001s (d.) Derive a general expression for the instantaneous velocity as function of time and from it find v, at t=1.0 s and t=2.0s

Name: A cheetah is crouched 20m to the east of an observer's vehicle. At ti
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: A cheetah is crouched 20m to the east of an observer's vehicle. At time t=0 the cheetah charges an antelopeand begins to run along a straight line. During the first 2.0 s of the attack, the cheetah's coordinate x varieswith time according to the equ

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

Related questions

Q: A squirrel has x- and y- coordinates (-2.0 m, 4.2 m) at time t = 0 and coordinates (4.4 m, -1.8 m)…

A: Given Coordinates at t=0 sec are (-2.0 m, 4.2 m) Coordinates at t=4 sec are (4.4 m, -1.8 m)

Q: particle initially is moving at a velocity with Cartesian components (5.0 m/s, 4.0 m/s) and 5.6 s…

A: Given u̅ =( 5î +4 ĵ ) v̅ = 8 î t = 5.6 s

Q: (a) What is the magnitude (in km) and direction (in degrees south of east) of her displacement…

A: The distance moved by the person towards the south, The distance moved by the person toward the…

Q: moderate wind accelerates a pebble over a horizontal xy plane with a constant acceleration a = (4.07…

Q: The position vector 7 = (4.30t)î + (et + ft²) locates a particle as a function of time t. Vector is…

Q: You stand at the edge of a 22.0 m high cliff and throw a stone straight down with a speed of 8.00…

A: Initial velocity, u = 8 m/sFinal velocity, v = 22.3 m/s

Q: A dog slips out of its collar while going for a walk and runs away at full speed. By the time the…

Q: An ion's position vector is initially 7 = (-3,9 m )i + (-8.6 m )j + (-3.4 m )k, and 9.3 s later it…

Q: Problem 6: A rock is thrown straight down from the Verrazano Narrows Bridge in New York City with…

A: Step 1: Draw the scenario: (Note: Take upward as the positive direction) Step 2: Construct the…

Q: A man is lost in a thick forest. Confused and clueless as to what direction to take, he walks a…

A: The net displacement should be zero. A+B+C=0 C=-(A+B) A=5cos25i+5sin25j=4.53i+2.11j…

Q: The position vector 7 = (3.50t)î + (et + ft²) locates a particle as a function of time t. Vector is…

Q: A field biologist is studying the migration patterns of northern gannets (a type of seabird). On one…

Q: Multiple-Concept Example 4 deals with a situation similar to that presented here. A marble is thrown…

A: We know that horizontal velocity vh = 15.2 m/s let verticle velocity at ground = vv' Angle with…

Q: A particle starts from the origin at t = 0 with a velocity of 7.8 and moves in the xy plane with a…

A: Solution:-Given thatInitial velocity (u→)=(7.8 j^) m/sacceleration (a→)=(4.4 i^+3 j^) m/s2x…

Q: Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a man accidentally stubs…

Q: velocity

A: Given: Acceleration of the object is given by the equation, A=(3t2+3t)i+(7t3+6)j At time = 0…

Q: The position vector of a particle moving in the xy-plane is given by (At, Bt¹) r = where t is the…

A: Given:Position vector:r= (4.5t, 8.0t4) a) Magnitude of particle displacement at t = 2 s:r = (4.5t,…

Q: A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0s, thex…

A: The x-component of the initial velocity and acceleration of the puck is .The y-component of the…

Q: An athlete is training on a 100 m long linear track. His motion is described by the graph of his…

A: An athlete is training on a 100 m long linear track. His motion is described by the graph of his…

Q: The position vector of a particle is given as r = (t^2-6t+8)i + (t^2-9)j Find the magnitude…

A: Position vector is the vector form of displacement by the body when it is in motion. r→=ati^+btj^…

Q: Ajetliner, traveling northward, is landing with a speed of 68.2 m/s. Once the jet touches down, it…

A: Given data: Initial velocity (u) = 68.2 m/s Displacement (d) = 750 m Final velocity (v) = 7.16 m/s…

Q: When chasing a hare along a flat stretch of ground, a greyhound leaps into the air at a speed of…

A: speed = v=12.1 m/s angle θ=27.0° above the horizontal

Q: The coordinates of a bee flying in the xy-plane are given by x(t) = At and y(t) = C-Bt², where 1 =…

A: Given: The coordinate of the bee in the xy plane is. xt=At…

Q: A cheetah is crouched 20 m to the east of a vehicle . Attime t = 0 the cheetah begins to run due…

A: Velocity is assigned to an object in motion, and it is a vector quantity whose magnitude is the rate…

Q: The bacterium Escherichia coli (or E. coli) is a single-celled organism that lives in the gut of…

A: Given, Zig-Zag constant speed, v = 20 μm/s Other data in the graph

Q: A car is traveling east at 17.5 m/s when it turns due north and accelerates to 32.5 m/s, all during…

A: Given data: Initial velocity (u) = 17.5 m/s, due East Final velocity (v) = 32.5 m/s, due North Time…

Q: A wild horse starts from rest and runs in a straight line 29° north of west. After 33 s of running…

A: Given: Horse running in direction = 29° north of west Initial speed, v = 15 m/s time, t = 33 s

Q: Part A A 20.0-kg projectile is fired at an angle of 60.0 ° above the horizontal with a speed of 80.0…

Q: A Boeing 747 "Jumbo Jet" has a length of 64.5 m. The runway on which the plane lands intersects…

Q: A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0s, the x…

A: Write a given values of this question. v0x=+1.4m/sax=+7.5m/s2v0y=+9.2m/say=-6.4m/s2t=0.50s

Q: An Australian emu is running due north in a straight line at a speed of 13.0 m/s and slows down to a…

Q: Chapter 02, Problem 10 In reaching her destination, a backpacker walks with an average velocity of…

Concept explainers

Projectile Motion

Topic Video

Question

A cheetah is crouched 20m to the east of an observer's vehicle. At time t=0 the cheetah charges an antelope
and begins to run along a straight line. During the first 2.0 s of the attack, the cheetah's coordinate x varies
with time according to the equation x=20m +(5.0m/s2) t2.
(a.) Find the displacement of cheetah between t, = 1.0s and t, = 2.0s
(b.) Find the average velocity during the same time interval.
(c.) Find the instantaneous velocity at t, = 1.0s by taking At = 0.1s, then At = 0.01s then At = 0.001s
(d.) Derive a general expression for the instantaneous velocity as function of time and from it find v, at t=1.0 s
and t=2.0s

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

An Australian emu is running due north in a straight line at a speed of 13.0 m/s and slows down to a speed of 9.70 m/s in 2.30 s. (a) What is the magnitude and direction of the bird’s acceleration? (b) Assuming that the acceleration remains the same, what is the bird’s velocity after an additional 1.30 s has elapsed?
A vehicle travels at a speed of 4 m/ sec along a horizontal Circular road that has a radius of 50m its speed is then increased by ú= (0.05.s) m/sec² for a short distance from S = 0, where s is in meters. Calculate the magnitude of its acceleration when it has moved s = 10m in ml sec².
A runner, jogging along a straight-line path, starts at a position 60.0 m east of a milestone marker and heads west. After a short time interval he is 15.7 m west of the mile marker. Choose east to be the positive x-direction. What is the runner’s displacement from his starting point? Enter a positive value if the displacement is toward east of the milestone and a negative value if the displacement is toward west of the milestone.
A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0 s, the x components of the puck's initial velocity and acceleration are vox = +2.2 m/s and ax = +7.2 m/s². The y components of the puck's initial velocity and acceleration are Voy = +9.7 m/s and a, = -1.7 m/s?. Find (a) the magnitude v and (b) the direction 0 of the puck's velocity at a time of t = 0.50 s. Specify %3D the direction relative to the +x axis. (a) V = (b) 0 = degrees the +x axis
A puma (aka cougar or mountain lion) is one of the best jumpers among all animals. It can jump to a height of 12.0 feet high when it leaves the ground at an initial angle of 45°. What is the initial speed (in m/s) of the puma as it leaves the ground?
A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0s, the x components of the puck's initial velocity and acceleration are vox = +7.2 m/s and ax = +1.1 m/s². They components of the puck's initial velocity and acceleration are Voy=+3.6 m/s and ay = -1.5 m/s². Find (a) the magnitude v and (b) the direction of the puck's velocity at a time of t = 0.50 s. Specify the direction relative to the +x axis. (a) v = i (b) 0= degrees the +x axis
A Lockheed Martin F-35 Lightning II jet takes off from an aircraft carrier with a runway length of 107 m and a takeoff speed 77 m/s at the end of the runway. Jets are catapulted into airspace from the deck of an aircraft carrier with two sources of propulsion: the jet propulsion and the catapult. At the point of leaving the deck of the aircraft carrier, the F-35's acceleration decreases to a constant acceleration of 4.8 m/s2 at 23° with respect to the horizontal. (Assume that the F-35's initial direction along the deck of the aircraft carrier is the +x-direction and that the +y-direction is up.) What is its velocity and speed at this time? (Enter your answers in m/s.) v(5.4 s)= (?î +?ĵ) v(5.4 s)= ? m/s How far (in m) has it traveled horizontally?
An object is located initially at an origin. It has acceleration 3.00 m/s2, 90° and velocity 5.00 m/s, 0°. Determine the position (x, y) and the velocity (magnitude and direction) for times 1.00 s, 2.00 s and 3.00 s. Graph the position on an x-y coordinate plane for these times. Include the velocities and acceleration.
Dock diving is great form of athletic competition for dogs of all shapes and sizes. Sheba, the American Pit Bull Terrier, runs and jumps off the dock with an initial speed of 9.02 m/s at an angle of 25.0° with respect to the surface of the water. Sheba begins at a height of 0.840 m above the surface of the water. What is her total time of flight up until the instant before she hits the water? Express your answer in seconds.
A bird files straight northeast a distance of 95.0 km for 3.0 h. With the x-axis due east and the y-axis due north, what is the displacement in unit vector notation for the bird? What is the average velocity for the trip?
Mt. Asama, Japan, is an active volcano complex. In 2009, an eruption threw solid volcanic rocks that landed far from the crater. Suppose that one such rock was launched at an angle of θ = 57.6 degrees above horizontal, and landed a horizontal distance d = 880 m from the crater, and a vertical distance h = 940 m below the crater. a) what is the initial speed of the rock in m/s? b) how long in secs was the rock in the air?
a) What is the distance it travelled during 2 seconds?b) In what direction did it ravel (angle with the positive x-axis)? c) What is the acceleration vector of this particle?