Read each statementbelow carefully and state with reasons and examples, if it is true orfalse;
A particle inone-dimensional motion
(a) with zero speed atan instant may have non-zero acceleration at that instant
(b) with zero speed mayhave non-zero velocity,
(c) with constant speedmust have zero acceleration,
(d) with positive valueof acceleration mustbe speeding up.
Read each statementbelow carefully and state with reasons and examples, if it is true orfalse;
A particle inone-dimensional motion
(a) with zero speed atan instant may have non-zero acceleration at that instant
(b) with zero speed mayhave non-zero velocity,
(c) with constant speedmust have zero acceleration,
(d) with positive valueof acceleration mustbe speeding up.
Answer:
(a) True
(b) False
(c) True
(d) False
Explanation:
(a) When an object is thrown vertically up in the air, its speed becomes zero at maximum height. However, it has acceleration equal to the acceleration due to gravity (g) that acts in the downward direction at that point.
(b) Speed is the magnitude of velocity. When speed is zero, the magnitude of velocity along with the velocity is zero.
(c) A car moving on a straight highway with constant speed will have constant velocity. Since acceleration is defined as the rate of change of velocity, acceleration of the car is also zero.
(d) This statement is false in the situation when acceleration is positive and velocity is negative at the instant time taken as origin. Then, for all the time before velocity becomes zero, there is slowing down of the particle. Such a case happens when a particle is projected upwards.
This statement is true when both velocity and acceleration are positive, at the instant time taken as origin. Such a case happens when a particle is moving with positive acceleration or falling vertically downwards from a height.
Answer:
(a) True
(b) False
(c) True
(d) False
Explanation:
(a) When an object is thrown vertically up in the air, its speed becomes zero at maximum height. However, it has acceleration equal to the acceleration due to gravity (g) that acts in the downward direction at that point.
(b) Speed is the magnitude of velocity. When speed is zero, the magnitude of velocity along with the velocity is zero.
(c) A car moving on a straight highway with constant speed will have constant velocity. Since acceleration is defined as the rate of change of velocity, acceleration of the car is also zero.
(d) This statement is false in the situation when acceleration is positive and velocity is negative at the instant time taken as origin. Then, for all the time before velocity becomes zero, there is slowing down of the particle. Such a case happens when a particle is projected upwards.
This statement is true when both velocity and acceleration are positive, at the instant time taken as origin. Such a case happens when a particle is moving with positive acceleration or falling vertically downwards from a height.
