Question

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

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

Answer 1

The correct option is C Time of flight

Vertical component of projectile relative to trolley
$v_{yT}=v\sin \theta \dots \dots \left(i\right)$
Vertical component of projectile relative to ground
$v_{yG}=v\sin \theta \dots \dots \left(ii\right)$
From equation $\left(i\right)$ & $\left(ii\right)$ we get that,
Vertical component is unchanged relative to trolley and ground.
Now, time of flight $T=\frac{2u\sin \theta }{g}$
Time of flight remains unchanged relative to trolley and ground.
Final Answer:$\left(C\right)$