A car is travelling on a highway at a speed of 25 m/s along the x-axis. A passen

Question

A car is travelling on a highway at a speed of 25 m/s along the x-axis. A passenger in a car throws a ball at an angle

37^{\circ}

with horizontal in a plane perpendicular the motion of the car. The ball is projected with a speed of 10 m/s relative to the car. What may be the initial velocity of the ball in unit vector notation?

A Car Is Travelling On A Highway At A Speed Of 25 M/s Along ...

Options:

A . 25 ^i + 8^j + 6^k

B . 10 ^i + 8^j + 6^k

C . 10 ^i + 25^j + 6^k

D . 25 ^i + 6^j + 8^k

Answer: Option D
:
D

u_{x}

25^i

as the car is moving with a speed of 25

\frac{m}{s}

along +ve axis, given

θ = 37^{\circ}

∴

\frac{u_{y}}{u_{z}} = t a n 37^{\circ} = \frac{3}{4}

∴

the only possible option is

25^i + 6^j + 8^k

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