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A particle moves along a line with velocity meters per second for seconds
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
A particle moves along a line with velocity
v
(
t
)
=
2
sin
t
+
1
v(t)=2\sin t+1
v
(
t
)
=
2
sin
t
+
1
meters per second for
0
≤
t
≤
π
0\le t\le \pi
0
≤
t
≤
π
seconds. Determine the particle’s displacement, in meters, over this interval. (a)
2
+
π
2+\pi
2
+
π
(b)
π
\pi
π
(c)
4
+
π
4+\pi
4
+
π
(d)
4
4
4
Related theory
Accumulation Concepts
Applications of Integration
Fundamental theorem of calculus
Definite integrals
Integrals
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