Question

A particle of mass 10kg moves in a straight line such that the
force (in Newtons) acting on it at time (in seconds) is given by
90t^{4}+70t^{3}+30,

If at time t=0 its velocity,v (in ms^{-1}), is given by
v(0)=9 , and its position x (in m) is given by x(0)=6 , what is the
position of the particle at time ?

Answer #1

A particle is moving along a straight line and has acceleration
given by a(t) = 20t^3+12t^2}. Its initial velocity is: v(0) = 4 m/
and its initial displacement is s(0) = 5 ms. Find the position of
the particle at t = 1 seconds.
10 m
5 m
11 m
4 m
2m

A particle that moves along a straight line has velocity v ( t )
= t^2e^− 2t meters per second after t seconds. How many meters will
it travel during the first t seconds (from time=0 to time=t)?

The trajectory of a particle moving on a straight line is x(t) =
A cos ωt + B sin ωt. a) What are the units for the fixed numbers A,
B and ω (the greek letter omega), assuming that x is measured in
meters and t in seconds? b) There is a shortest non-zero time T
such that x(t + T) = x(t); what is it? c) What is the velocity of
the particle? d) What are the initial position...

A particle is moving along a straight line and has acceleration
given by a(t) = 20t^3+12t^2}. Its initial velocity is v( 0 ) = 4 m
/ s and its initial displacement is s( 0 ) = 5 m. Find the position
of the particle at t = 1 seconds.

A
particle of mass m=0.2kg moves in the xy plane subject to a force
such as that its position as a function of time is given by the
vector r(t)= (3.0m/s2)t*2i+[12.0m-(2.0m/s*3)t*3]j
what is the magnitude of the torque on the particle about the
origin at the moment when the particle reaches the x axis?

A particle moves such that its velocity at time is
given by
v=4t3i+5t4j+3t2k
If its position x at time t=0 is given by x(0)=i+j+k , what is
the position of the particle at time t?

A particle travels along a straight line with a velocity
v=(12−3t^2) m/s , where t is in seconds. When t = 1 s, the particle
is located 10 m to the left of the origin.
Determine the displacement from t = 0 to t = 7 s.
Determine the distance the particle travels during the time
period given in previous part.

A particle is moving along a straight line, and its position is
defined by s = (t2 - 6t +6) m. At t=6 seconds, find the following :
a. the acceleration of the particle b. The average speed c. the
average velocity

mass of 2kg moves horizontally along x axis under the
action of a force in terms of time, given as following: F(t) = b
sin wt , where t time in seconds , b and w are constants
1) find the impulse during t1=0 to t2=2
if the mass starts motion from rest at x=0
(Show in integration IN DETAIL)
2) find its velocity as function of time
(IN DETAIL)
3) find its position as function of time
(IN DETAIL)

A particle that moves along a straight line has velocity
v(t)=4t^(2)e^(-t) meters per second after t seconds. How far will
it travel during the first t seconds?

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