First slide

Projectile motion

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?

Moderate

A

Range
B

Maximum range
C

Time of flight
D

Horizontal velocity

Solution

Vertical component of projectile relative to trolley
$v_{y T} = v \sin θ$
and vertical component of projectile relative to ground
$v_{y G} = v \sin θ$
Vertical component is unchanged relative to trolley and ground.
$Now time of flight = \frac{2 u \sin θ}{g}$
Time offlight remains unchanged relative to trolley and grorHrd.
Hence, right choice is (c).

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