A particle Q moving in a straight line passes through a point O with a speed of 5ms^-1. The acceleration at time t sec of Q passing through O is (ax^2+b): calculate
(i) the speed of Q when t=2.5.
(ii) the distance covered by Q between instances when t=3 and t=5,

A particle Q moving in a straight line passes through a point O with a speed...
A particle moving along a straight line has an acceleration which varies according to position as shown. If the velocity of the particle at the position x = -4 ft is V-6 ft/sec, determine the velocity v when the acceleration is zero. (Note: there are several instances when acceleration is zero). a, see Sude=adso r -) = area under as curve)
4. A particle is moving along a straight line through a fluid medium such that its speed is measured as v (2t) m/s, where t is in seconds. If it is released from rest at s 0 determine its positions and acceleration when t 3 s. a) s 2 m, a 9 m/s2 c) S 18 m, a 2 m/s2 d) s 2 m, a 18 m/s2 5. A driver accelerates at a rate of a(S)-0.2 S. If the driver...
Given A position of a particle which moves along a straight line is defined by the relation'小64-m» 40, where s is expressed in feet and t in seconds Find a) O b) Or derive the equation of the particle's acceleration as a c) The time at which the velocity will be zero. d) The position of the particle when the velocity is zero. e) The acceleration of the particle when the velocity is zero. t) The displacement of the particle...
4. A particle P travels along a straight line so that it's distance s m, from a fixed point O on the line is given by s-3i where t is the time in seconds after passing O. i Find the velocity and speed of the particle P after 4 seconds. i) Find out the distance of turning points from the point O i) Find the acceleration after 3 seconds. (iv) Calculate the total distance traveled during first 5 seconds. (10...
(1 point) The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. s(t) = 12 – In(t + 3), t20 36 If appropriate, enter answers using In . Use inf to represent oo. (a) Find the velocity and acceleration functions. u(t): a(t): (b) Find the position, velocity, speed, and acceleration at t = 1. Position (ft): Velocity (ft/sec): Speed (ft/sec): Acceleration (ft/sec2): 000 (c) At what...
A car moving in a straight line starts at x = 0 at t = 0 . It passes the point x = 26.0 m with a speed of 11.0 m/s at t = 3.00 s . It passes the point x = 390 m with a speed of 42.0 m/s at t = 20.0 s . 1.)Find the average velocity between t = 3.00 s and t = 20.0 s . 2.)Find the average acceleration between t = 3.00...
A car moving in a straight line starts at x = 0 at t = 0 . It passes the point x = 30.0 m with a speed of 10.0 m/s at t = 3.00 s . It passes the point x = 375 m with a speed of 50.0 m/s at t = 20.0 s . Find the average velocity between t = 3.00 s and t = 20.0 s . Express your answer with the appropriate units. Find...
A particle moves along a straight line and its position at time t is given by s(t)= 2t^3 - 21 t^2 + 60 t where s is measured in feet and t in seconds.a) Find the velocity (in ft/sec) of the particle at time t=0:The particle stops moving (i.e. is in a rest) twice, once when t=A and again when t=B where A < B.b) A isc) B isd)What is the position of the particle at time 14?e)Finally, what is...
Velocity versus displacement curve of a particle
moving in a straight line is shown in the figure. From a point P, a
line PQ is drawn perpendicular to displacement axis and line PR is
drawn normal to the
curve at P. The magnitude of acceleration of particle at point P
is
options:
a)1 m/s^2
b) 3 m/s^2
c)2 m/s^2
d) 2.5 m/s^2
v(m/s) \ R s (m) (2,0) (3,0)
QA) A particle is mobile over a straight line such that its speed is defined as = (-5s) m/s, where s is measured by meters. If s = 5m when t = 0, define the velocity and acceleration as functions of time, then discuss your results.