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7. MOTION
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$(a)$ Differentiate acceleration from velocity.
$(b)$ Can a body have acceleration without change in magnitude of velocity ? Explain with an example.
$(c)$ A motor boat starting from rest on a lake accelerates in a straight line at a constant rate of $3\, m s ^{-2}$ for $8 \,s$. How far does the boat travel during this time ?
Option A
Option B
Option C
Option D
Solution
$(a)$ Acceleration is the rate of change of velocity while velocity is the rate of change of displacement
$(b)$ Yes. For a body having uniform circular motion magnitude of velocity is constant but it possesses acceleration due to its continuously changing direction.
$(c)$ Using the equation $S=u t+\frac{1}{2} a t^{2}$
$S=0+\frac{1}{2} \times 3 \times(8)^{2}=96 m$
Standard 9
Science
