Question

A particle is projected from a trolley car with a velocity $\vec{v}$. If the trolley car moves with an acceleration $\vec{a}$ towards right, which of the following remain unchanged relative to both ground and trolley car?

• A. Range
• B. Maximum range
• C. Time of flight
• D. horizontal velocity

Answer 1

Answer: (C)

Vertical component of projectile relative to trolley,
$v_{y}T= v$ sin $\theta$
And vertical component of projectile relative to ground
$v_{yG} = v$ sin $\theta$
Vertical component is unchanged relative to trolley and ground.
Now time of flight $=\frac{2u\,\,\,sin\,\,\theta}{g}$
Time of flight remains unchanged relative to trolley & ground.