$(a)$ 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 ?
$(a)$ 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 ?
$(a)$ 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 $S=u t+\frac{1}{2} a t^{2}$
$S=0+\frac{1}{2} \times 3 \times(8)^{2}=96 m$
Similar Questions
Give one example for each of the type of motion when
$(i)$ acceleration is in the direction of motion.
$(ii)$ acceleration is against the direction of motion.
$(iii)$ acceleration is uniform.
Give one example for each of the type of motion when
$(i)$ acceleration is in the direction of motion.
$(ii)$ acceleration is against the direction of motion.
$(iii)$ acceleration is uniform.
The displacement of a moving object in a given interval of time is zero. Would the distance travelled by the object also be zero ? Justify you answer.
The displacement of a moving object in a given interval of time is zero. Would the distance travelled by the object also be zero ? Justify you answer.
Draw a velocity versus time graph of a stone thrown vertically upwards and then coming downwards after attaining the maximum height.
Draw a velocity versus time graph of a stone thrown vertically upwards and then coming downwards after attaining the maximum height.
An object is moving along a straight line with uniform acceleration. The following table gives the velocity of the object at various instants of time
Time $(s)$
$0$
$1$
$2$
$3$
$4$
$5$
$6$
Velocity $\left( m s ^{-1}\right)$
$2$
$4$
$6$
$8$
$10$
$12$
$14$
Plot the graph.
From the graph.
$(i)$ Find the velocity of the object at the end of $2.5 sec$
$(ii)$ Calculate the acceleration.
$(iii)$ Calculate' the distance covered in the last $4$ sec.
An object is moving along a straight line with uniform acceleration. The following table gives the velocity of the object at various instants of time
| Time $(s)$ | $0$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ |
| Velocity $\left( m s ^{-1}\right)$ | $2$ | $4$ | $6$ | $8$ | $10$ | $12$ | $14$ |
Plot the graph.
From the graph.
$(i)$ Find the velocity of the object at the end of $2.5 sec$
$(ii)$ Calculate the acceleration.
$(iii)$ Calculate' the distance covered in the last $4$ sec.
Write true or false for the following statements
In one$-$dimensional motion, the average velocity and the instantaneous velocity are unequal.
Write true or false for the following statements
In one$-$dimensional motion, the average velocity and the instantaneous velocity are unequal.