Part (a) Write an expression for the distance r between the truck and the car as a function of time. Use the variables from the problem statement for your equation. Expression : Select from the variables below to write your expression. Note that all variables may not be required. B. y. 0, d, g, h, j, k, m, n, P, s, t, v, z Part (b) Write an expression for the time at which the distance between the car and the truck as its minimum value. Use the variables from the problem statement for your equation. Expression :

Part (a) Write an expression for the distance r between the truck and the car as a function of time. Use the variables from the problem statement for your equation. Expression : Select from the variables below to write your expression. Note that all variables may not be required. B. y. 0, d, g, h, j, k, m, n, P, s, t, v, z Part (b) Write an expression for the time at which the distance between the car and the truck as its minimum value. Use the variables from the problem statement for your equation. Expression :

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section: Chapter Questions

Problem 61A

See similar textbooks

Similar questions

A helicopter is ascending vertically with a speed of 5.30 m/s. At a height of 107 m above the Earth, a package is dropped from the helicopter. How much time does it take for the package to reach the ground? [Hint: What is v0 for the package?] Express your answer to three significant figures and include the appropriate units. My Answer is that t= 4.163 but what unit is it? I tried s, m/s, min but none of them were correct. PLEASE HELP CONFIRM MY ANSWER and THE UNIT along with 4.163
Pan am Flight 7 was one of the famous planes to disappear into the Bermuda Triangle, which is en route from San Francisco to Hawaii . The first route is due west for 602 km; then it took a detour southeast for 705 m; and the its final route is at 53° north of west, the crash site in the Pacific ocean, for 636 km. What is the plane’s total displacement? Add solution.
Use a graphing utility to obtain the path of a projectile launched from the ground (h = 0) at the specified values of θ = 35°, v0 = 300 feet per second. In the exercise, use the graph to determine the maximum height and the time at which the projectile reaches its maximum height. Also use the graph to determine the range of the projectile and the time it hits the ground. Round all answers to the nearest tenth.
A wildlife researcher is tracking a flock of geese. The geese fly 4.5 kmkm due west, then turn toward the north by 30 ∘∘ and fly another 5.0 kmkm . How far west are they of their initial position? What is the magnitude of their displacement?
A ball is shot from the top of a building with an initial velocity of 18 m/s at an angle θ = 43° above the horizontal. If a nearby building is the same height and 61 m away, how far below the top of the building will the ball strike the nearby building? ( Choose upward as the positive y-direction and express the displacement with the sign of the result, which must be in units of meters and include 1 digit after the decimal point. Maximum of 5% of error is accepted in your answer. Take g=9.80 m/s2.)
An unsuspecting bird is coasting along in an easterly direction at 4.00 mph when a strong wind from the south imparts a constant acceleration of 0.200 m/s2 . If the wind's acceleration lasts for 3.10 s , find the magnitude ?r and direction ?θ (measured counterclockwise from the easterly direction) of the bird's displacement over this time interval. Assume that the bird is originally travelling in the +?+x direction and that there are 1609 m in 1 mi . ?= ? ?= ? Now, assume the same bird is moving along again at 4.00 mph in an easterly direction, but this time, the acceleration given by the wind is at a ϕ=39.0° angle to the original direction of motion, measured counterclockwise from the easterly direction. If the magnitude of the acceleration is 0.500 m/s2 , find the displacement vector ?⃗ r→ and the angle of the displacement ?1θ1 . Enter the components of the vector, ??rx and ??ry , and the angle. Assume the time interval is still 3.10 s . ?⃗ =???̂ +???̂
Solving equations of motion Given an acceleration vector,initial velocity ⟨u0, v0, w0⟩, and initial position ⟨x0, y0, z0⟩, find thevelocity and position vectors, for t ≥ 0. a(t) = ⟨sin t, cos t, 1⟩, ⟨u0, v0, w0⟩ = ⟨0, 2, 0⟩,⟨x0, y0, z0⟩ = ⟨0, 0, 0⟩
A toy airplane is flying in a straight horizontal (parallel to the ground) path with a speed of vi = 26.0 m/s. Suddenly, the airplane's engines stop (at t=0). Using an x-axis that is horizontal and along the plane's original velocity and a y-axis that is vertical with positive away from the ground, the airplane now has an acceleration given by the following expressions: ax(t)=−t2/Cay(t)=−g[1−vx(t)/vi] where C=2363s4/m and vx(t) is the x component of the airplane's velocity. The airplane crashes 41.25 seconds after the engines stop. In this question I have to find the vertical Vy component of the plane when it hits the wall. I know that to get that I have to integrate ay(t) but I can't figure out what I'm supposed to put in for Vx(t) in the equation.
At time t=0, a jogger is heading due east with speed v=1.4 m/s. At time t1=3.0s, she is heading 0=42 degrees north of east with speed v1=1.9m/s. What is the magnitude of her average acceleration vector during this time? For the representation, draw a tip-to-tail vector addition diagram relating togetherv0,v1, and delta v.
Using SI base units, a particle’s position as a function of time is given by x(t)=(7t3+4t2+6) m. (a) At what time will the particle’s acceleration be zero? (b) Find the speed of the particle at that time.
A skateboarder travels on a horizontal surface with an initial velocity of 4.4 m/sm/s toward the south and a constant acceleration of 2.6 m/s2m/s2 toward the east. Let the xx direction be eastward and the yy direction be northward, and let the skateboarder be at the origin at t=0t=0. 1. What is her y position at t=0.90s? Express your answer to two significant figures and include appropriate units.
A field biologist is studying the migration patterns of northern gannets (a type of seabird). On one particular day, she records that they fly 5.0 km northeast, then turn toward to the south of east by 30◦ and fly 4.0 km in the new direction. How far east of their original position are the birds?