The velocity-time graph of the objects A and B makesangles 300 and 600

1.	The velocity-time graph of the objects A and B makesangles 300 and 600 with the time axis. Find the ratio of their acceleration.
Answer» Answer: Given: Velocity time graph has slopes of 30° and 60° with time axis. To FIND: RATIO of acceleration Concept: Slope in velocity time graph actually represents the acceleration because the slope denotes the change of velocity with RESPECT to time. Regarding Acceleration, it's a vector quantity having both directions and magnitude. SINCE slope is being considered , we are taking average velocity into consideration. Calculation: For particle A : $acc = \tan(30 \degree) = \dfrac{1}{ \sqrt{3} } \: units$ For particle B: $acc = \tan(60 \degree) = \sqrt{3} \: units$ REQUIRED ratio: $\boxed{ \red{ \large{A:B = 1 : (\sqrt{3} \times \sqrt{3} ) = 1 : 3}}}$

The velocity-time graph of the objects A and B makesangles 300 and 600 with the time axis. Find the ratio of their acceleration.

Answer»

Answer:

Given:

Velocity time graph has slopes of 30° and 60° with time axis.

To FIND:

RATIO of acceleration

Concept:

Slope in velocity time graph actually represents the acceleration because the slope denotes the change of velocity with RESPECT to time.

Regarding Acceleration, it's a vector quantity having both directions and magnitude. SINCE slope is being considered , we are taking average velocity into consideration.