Velocity Calculations | MCQs

Explanation

Speed is defined as the rate of change of position over time.

It indicating how quickly an object moves from one place to another.

It is a scalar quantity, meaning it only has magnitude and no direction.

Explanation

The area under a velocity-time graph represents the total distance traveled by an object. This is because:

∫v(t)dt = distance

Where v(t) is the velocity as a function of time.

Explanation

Instantaneous velocity at any point on a curved path is directed tangentially to the curve.

It indicating the direction of motion at that moment.

Explanation

Angular velocity (ω) is defined as the rate of change of angular displacement (θ) with respect to time (t). It can be calculated using the formula:

ω = v / r

Where:

v = linear velocity (in m/s)

r = radius of the circle (in m)

Given:

v = 250 m/s (linear velocity)

r = 100 m (radius of the circle)

ω = v / r

= 250 m/s / 100 m

= 2.5 rad/s

So, the angular velocity of the aircraft is 2.5 rad/sec.