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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

what is the guess theorem
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rupesh
a car can cover a distance of 522km on 36 Liter's of petrol, how far can it travel on 14 liter of petrol.
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whats a two dimensional force
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what are two dimensional force?
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Where is Fourier Theorem?
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Boyle's law state that the volume of a given mass of gas is inversely proportion to its pressure provided that temperature remains constant
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CHUKWUMA Reply
In means natural logarithm
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identity of vectors?
Choudhry Reply
what is defined as triple temperature
Prince Reply
Triple temperature is the temperature at which melting ice and boiling water are at equilibrium
njumo
a tire 0.5m in radius rotate at constant rate 200rev/min. find speed and acceleration of small lodged in tread of tire.
Tahira Reply
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Ishaq
100
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define the terms as used in gravitational mortion 1:earth' satellites and write two example 2:parking orbit 3:gravitation potential 4:gravitation potential energy 5:escping velocity 6:gravitation field and gravitation field strength
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can gravitational force cause heat?
SANT
yes
Kawshik
_2/3 ÷34
Isaac
what larminar flow
Rajab Reply
smooth or regular flow
Roha
Hii
Sadiq
scalar field define with example
Malik Reply
what is displacement
Isaac Reply
the change in the position of an object in a particular direction is called displacement
Noor
The physical quantity which have both magnitude and direction are known as vector.
Malik
good
Noor
Describe vector integral?
Malik
define line integral
Malik
Examples on how to solve terminal velocity
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what is Force?
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ans:loading...
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the sideways pressure exerted by fluid is equal and canceled out.how and why?
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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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