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Problems

A particle moves in a straight line at a constant velocity of 30 m/s. What is its displacement between t = 0 and t = 5.0 s?

150 m

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A particle moves in a straight line with an initial velocity of 30 m/s and a constant acceleration of 30 m/s 2 . If at t = 0 , x = 0 and v = 0 , what is the particle’s position at t = 5 s?

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A particle moves in a straight line with an initial velocity of 30 m/s and constant acceleration 30 m/s 2 . (a) What is its displacement at t = 5 s? (b) What is its velocity at this same time?

a. 525 m;
b. v = 180 m/s

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(a) Sketch a graph of velocity versus time corresponding to the graph of displacement versus time given in the following figure. (b) Identify the time or times ( t a , t b , t c , etc.) at which the instantaneous velocity has the greatest positive value. (c) At which times is it zero? (d) At which times is it negative?

Graph is a plot of position x as a function of time t. Graph is non-linear and position is always positive.
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(a) Sketch a graph of acceleration versus time corresponding to the graph of velocity versus time given in the following figure. (b) Identify the time or times ( t a , t b , t c , etc.) at which the acceleration has the greatest positive value. (c) At which times is it zero? (d) At which times is it negative?

Graph is a plot of velocity v as a function of time t. Graph is non-linear with velocity being equal to zero and the beginning point a and the last point l.

a.
Graph is a plot of acceleration a as a function of time t. Graph is non-linear with acceleration being positive at the beginning, negative at the end, and crossing x axis between points d and e and at points e and h.
b. The acceleration has the greatest positive value at t a
c. The acceleration is zero at t e and t h
d. The acceleration is negative at t i , t j , t k , t l

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A particle has a constant acceleration of 6.0 m/s 2 . (a) If its initial velocity is 2.0 m/s, at what time is its displacement 5.0 m? (b) What is its velocity at that time?

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At t = 10 s, a particle is moving from left to right with a speed of 5.0 m/s. At t = 20 s, the particle is moving right to left with a speed of 8.0 m/s. Assuming the particle’s acceleration is constant, determine (a) its acceleration, (b) its initial velocity, and (c) the instant when its velocity is zero.

a. a = −1.3 m/s 2 ;
b. v 0 = 18 m/s ;
c. t = 13.8 s

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A well-thrown ball is caught in a well-padded mitt. If the acceleration of the ball is 2.10 × 10 4 m/s 2 , and 1.85 ms ( 1 ms = 10 −3 s ) elapses from the time the ball first touches the mitt until it stops, what is the initial velocity of the ball?

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A bullet in a gun is accelerated from the firing chamber to the end of the barrel at an average rate of 6.20 × 10 5 m/s 2 for 8.10 × 10 4 s . What is its muzzle velocity (that is, its final velocity)?

v = 502.20 m/s

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(a) A light-rail commuter train accelerates at a rate of 1.35 m/s 2 . How long does it take to reach its top speed of 80.0 km/h, starting from rest? (b) The same train ordinarily decelerates at a rate of 1.65 m/s 2 . How long does it take to come to a stop from its top speed? (c) In emergencies, the train can decelerate more rapidly, coming to rest from 80.0 km/h in 8.30 s. What is its emergency acceleration in meters per second squared?

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While entering a freeway, a car accelerates from rest at a rate of 2.04 m/s 2 for 12.0 s. (a) Draw a sketch of the situation. (b) List the knowns in this problem. (c) How far does the car travel in those 12.0 s? To solve this part, first identify the unknown, then indicate how you chose the appropriate equation to solve for it. After choosing the equation, show your steps in solving for the unknown, check your units, and discuss whether the answer is reasonable. (d) What is the car’s final velocity? Solve for this unknown in the same manner as in (c), showing all steps explicitly.

a.
Figure shows object with speed equal to 0 meters per second and acceleration equal to 2.4 meters per second squared at zero point. When time is equal to 12 seconds, acceleration remains equal to 2.4 meters per second. Speed and position of the object are unknown.
b. Knowns: a = 2.40 m/s 2 , t = 12.0 s, v 0 = 0 m/s , and x 0 = 0 m ;
c. x = x 0 + v 0 t + 1 2 a t 2 = 1 2 a t 2 = 2.40 m/ s 2 ( 12.0 s ) 2 = 172.80 m , the answer seems reasonable at about 172.8 m; d. v = 28.8 m/s

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Questions & Answers

A machine at a post office sends packages out a chute and down a ramp to be loaded into delivery vehicles. (a) Calculate the acceleration of a box heading down a 17.4° slope, assuming the coefficient of friction for a parcel on waxed wood is 0.100. (b) Find the angle of the slope down which this box could move at a constant velocity. You can neglect air resistance in both parts.
Austin Reply
what principle is applicable in projectile motion
Mkapa Reply
does rocket and satellite follow the same principle??? which principle do both of these follow???
Abhishek Reply
According to d'Broglie's concept of matter waves matter behaves like wave and the wavelength is h/p. but actually there is not only a wave but a wave packet wich is defined by a wave function and that wave function can defines everything about the particle but restricted by the uncertainty principle
Ravi Reply
what phenomenon describes Matter behave as a wave???
SHAKIRU Reply
simple definition of wave
Prajwal Reply
hello
Carls Reply
what is velocity
Abel Reply
hi, Musa,this moment a lateral
Arzoodan Reply
what is moment
Musa Reply
about projectile
Indra Reply
dimesion is defined as a measureable extent of particular kind such as breadth mass
Amruta Reply
Dimension is a quantity which give us direction of any vector unit like velocity
H.M.Ahmad Reply
what is dimension
when a horse pulls a cart, the cart pulls the horse backwards.then how does motion takes place?
Deepak Reply
Practice Key Terms 1

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Source:  OpenStax, University physics volume 1. OpenStax CNX. Sep 19, 2016 Download for free at http://cnx.org/content/col12031/1.5
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