If the signs of the velocity and acceleration of a particle are the same, the speed of the particle ______________.a)Remains sameb)Increasesc)Decreasesd)Cannot conclude anythingCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

In this question, it has been asked about the signs of velocity and acceleration not about the values of velocity and acceleration.

So, if both the entities have same the signs, then the speed of the object will increase.

If it is accelerating in the positive direction, the negative velocity is decreasing, and the object is slowing down.

Answer

In such a case the speed of the particle will increase. I've got an example to explain this and hopefully it will clear your doubts. Think about throwing a ball vertically upwards with an initial velocity of say, 20 m/sec. Now, if we take the upward direction as positive then initial velocity of the ball is +20 m/sec and the acceleration due to gravity acts in the opposite direction i.e., vertically downwards and hence it becomes -10 m/sec^2 or 9.8 m/sec^2 to be precise. The ball will reach a maximum height where the final velocity of the ball will become zero. Think about it. The final velocity becomes 0 because there is something that opposes it's motion which in this case is g. Now, Let us assume that g acts in the same direction as the ball. In this case the value of g is +10 m/sec^2. What do you think will happen? Will g oppose the motion or help in motion? Ofcourse, it will help in increasing the speed. Hence, if velocity and acceleration acts in same direction, they will speed up a body.

Answer

Explanation:

When the signs of velocity and acceleration are the same, it means that the particle is either moving in the positive direction with a positive velocity and positive acceleration or moving in the negative direction with a negative velocity and negative acceleration. In both cases, the particle is gaining speed, which means that the speed of the particle is increasing.

For example, if a car is moving forward with a velocity of 20 m/s and accelerating in the forward direction at 5 m/s^2, then the signs of velocity and acceleration are the same (both positive). This means that the car is gaining speed and its speed is increasing. Similarly, if a ball is thrown upward with a velocity of 10 m/s and decelerating in the upward direction at 2 m/s^2 (due to gravity), then the signs of velocity and acceleration are the same (both negative). This means that the ball is losing speed and its speed is decreasing.

Therefore, the correct answer is option B, i.e., the speed of the particle increases when the signs of velocity and acceleration are the same.

Answer

If acceleration and velocity are in same direction then velocity will increase and so the speed.i dont think there is need of any further explanation

Answer

Option B

Answer

If both speed and acceleration have same direction implies force is in direction of motion hence it increase,whereas if acc. and Vel. is in opposite direction force is opposite hence velocity decreases

Answer

B

Answer

Simply increases

Answer

Agar koi block movement kar raha ho aur tum uski movement ki direction me push karo to uski velocity badhegi

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