Q: The accelerated motion of a body can occur :

The accelerated motion of a body can occur due to a change in its speed only, due to change in direction of motion only, and due to change in both speed and direction of motion. In the uniform circular motion, the direction of speed changes continuously though the speed is constant, still, the motion is accelerated.

Q: Unit for the rate of change of velocity is

Velocity units \$ = m/s\$Acceleration is the rate of change of velocitya \$= \dfrac{change \ in \ velocity }{time } \$Therefore SI units of acceleration is \$ms^{-1}/s = \dfrac{m}{s^2} \$

Q: The area under acceleration-time graph gives

\$a=dv/dt\$\$\int_{v_1}^{v_2}\ dv=\int_{t_1}^{t_2}\ a\ dt \$Area under the acceleration time gives the change in velocity.

Q: Velocity of a body at rest is always

When a body is at rest , the displacement is zero\$v = \dfrac{s}{t} \$ (s is zero)Therefore \$v = \dfrac{0}{t} \$ \$v = 0 \$

Q: Unit of acceleration is

acceleration \$ = \dfrac{dv}{dt}\$Units of 'v' is m/s and 't' is secondsTherefore units of acceleration is \$\dfrac{m}{s^2} \$

Q: A body initially moving with a velocity of \$5\ ms^{-1}\$ attains a velocity of \$25\ ms^{-1}\$ in \$5\ s\$, find the acceleration of body in \$ms^{-2}.\$

Acceleration \$ = \dfrac{\text{Final velocity - initial velocity}}{\text{time taken}}\$Final velocity \$v = 25 m/s \$Initial velocity \$u = 5 m/s \$a \$= \dfrac{25 - 5}{5} m/s^2\$a \$= 4 m/s^2 \$

Question 1

The accelerated motion of a body can occur :

Accepted Answer

The accelerated motion of a body can occur :

A

Due to change in its speed only.

B

Due to change in direction of motion only.

C

Due to change in both speed and direction of motion.

D

Due to constancy of velocity.

Easy

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Question 2

Unit for the rate of change of velocity is

Accepted Answer

Velocity units $ = m/s$Acceleration is the rate of change of velocitya $= \dfrac{change \ in \ velocity }{time } $Therefore SI units of acceleration is $ms^{-1}/s = \dfrac{m}{s^2} $

Question 3

The area under acceleration-time graph gives

Accepted Answer

$a=dv/dt$$\int_{v_1}^{v_2}\ dv=\int_{t_1}^{t_2}\ a\ dt  $Area under the acceleration time gives the change in velocity.

Question 4

Velocity of a body at rest is always

Accepted Answer

When a body is at rest , the displacement is zero$v = \dfrac{s}{t} $ (s is zero)Therefore  $v = \dfrac{0}{t} $ $v = 0 $

Question 5

Unit of acceleration is

Accepted Answer

acceleration  $ = \dfrac{dv}{dt}$Units of 'v' is m/s and 't' is secondsTherefore units of acceleration is $\dfrac{m}{s^2} $

Question 6

A body initially moving with a velocity of $5\ ms^{-1}$ attains a velocity of $25\ ms^{-1}$ in $5\ s$, find the acceleration of body in $ms^{-2}.$

Accepted Answer

Acceleration $ = \dfrac{\text{Final velocity - initial velocity}}{\text{time taken}}$Final velocity $v = 25 m/s $Initial velocity $u = 5 m/s $a $= \dfrac{25 - 5}{5} m/s^2$a $= 4 m/s^2 $

Question 7

The velocity of a body can change

Accepted Answer

Acceleration is defined as change of velocity in unit time. So if acceleration is zero, there is no change of velocity, the body is moving with a constant velocity.

Question 8

A block is released from rest at the top of a friction-less inclined plane 16 m long. It reaches the bottom 4 sec later. A second block is projected up the plane from the bottom. At the instant at which the block is released in such a way that it returns to the bottom simultaneously with the first block. The acceleration of each block on the incline is :

Accepted Answer

Acceleration of both the blocks will be the same on the inclined planeLet it be '$a$'So, according the the equation of motion$\frac { 1 }{ 2 } \times a\times { 4 }^{ 2 }=16\Rightarrow a=2m/{ s }^{ 2 }$

Question 9

Define velocity. State its unit.

Accepted Answer

Velocity is a vector quantity that refers to the rate at which an object changes its position. It is a vector expression of the displacement that an object or particle undergoes with respect to time.The SI unit of velocity is meter/second.

Question 10

If the velocity of a body does not change, its acceleration is

Accepted Answer

Acceleration of a body is defined as the rate of change of the velocity of the body. Now since the velocity doesn't change at all, the rate of change will be zero.So, acceleration = 0

Motion In A Straight Line

Physics
10096 Views

The accelerated motion of a body can occur :

Unit for the rate of change of velocity is

The area under acceleration-time graph gives

Velocity of a body at rest is always

Unit of acceleration is

A body initially moving with a velocity of $5 m s^{- 1}$ attains a velocity of $25 m s^{- 1}$ in $5 s$ , find the acceleration of body in $m s^{- 2} .$

The velocity of a body can change

Define velocity. State its unit.

If the velocity of a body does not change, its acceleration is

Motion In A Straight Line

Physics 10096 Views

The accelerated motion of a body can occur :

Unit for the rate of change of velocity is

The area under acceleration-time graph gives

Velocity of a body at rest is always

Unit of acceleration is

A body initially moving with a velocity of 5 ms−1 attains a velocity of 25 ms−1 in 5 s, find the acceleration of body in ms−2.

The velocity of a body can change

Define velocity. State its unit.

If the velocity of a body does not change, its acceleration is

Physics
10096 Views

A body initially moving with a velocity of $5 m s^{- 1}$ attains a velocity of $25 m s^{- 1}$ in $5 s$ , find the acceleration of body in $m s^{- 2} .$