Chapter Ten Rectilinear Motion 317 = 312 (a) the particle is initially at rest at the origin. X =S 3t°t4t dt A particle is travelling in a straight line such that its velocity in ms-1 at timet is given by the equanon + 4t. Find the displacement of the particle after 2 seconds, if t:0 21 (6) the particle is initially 5m right of origin. X(5)16+5 ニA m もこ0 こ0 4tマ %3D tC. 2:0 tニ2 こt+2も+C 878=16M (c) the particle is initially 6m left of origin. (d) after 3 secs its displacement is -10m. 16-6ニ1Om- (e) Find the displacement of the particle after 1 second, if after 4 seconds its displacement is 100m.

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EXERCISE 10C
Chapter Ten Rectilinear Motion 317
A particle is travelling in a straight line such that its veloeity in -1 at time t is given by the equation
v = 3t + 4t. Find the displacement of the particle after 2 sęconds, if t-0. %
(a) the particle is initially at rest at the origin.
1.
tナ2セ
t o.
ms
メ= 3tナ4t dt
まこ0 こ0.
(b) the particle is initially 5m right of origin.
21
ろt3
%3D
4t3
15) 16+5 = m.
0:C.
t= 2.
x=2°+212)to
2:0.
+2t²+c
nd
(s)
818%=16m
(c) the particle is initially 6m left of origin.
(d) after 3 secs its displacement is -10 m.
16-6こ10m.
bol
(e) Find the displacement of the particle after 1 second, if after 4 seconds its displacement is 100m.
The velocity of a particle travelling in a straight line is given by v = 2t – 3 cm/sec. The particle is
initially at the origin.
(a) Find the displacement after 5 seconds.
(b) Find the displacement when the particle is at
rest.
2.
Transcribed Image Text:EXERCISE 10C Chapter Ten Rectilinear Motion 317 A particle is travelling in a straight line such that its veloeity in -1 at time t is given by the equation v = 3t + 4t. Find the displacement of the particle after 2 sęconds, if t-0. % (a) the particle is initially at rest at the origin. 1. tナ2セ t o. ms メ= 3tナ4t dt まこ0 こ0. (b) the particle is initially 5m right of origin. 21 ろt3 %3D 4t3 15) 16+5 = m. 0:C. t= 2. x=2°+212)to 2:0. +2t²+c nd (s) 818%=16m (c) the particle is initially 6m left of origin. (d) after 3 secs its displacement is -10 m. 16-6こ10m. bol (e) Find the displacement of the particle after 1 second, if after 4 seconds its displacement is 100m. The velocity of a particle travelling in a straight line is given by v = 2t – 3 cm/sec. The particle is initially at the origin. (a) Find the displacement after 5 seconds. (b) Find the displacement when the particle is at rest. 2.
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