A chief finds a glittering stone which he shows to the family. The family assures him that the stone is pure gold but he doubts.
1 answer:
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The ball's velocity at 2 sec is 30.4 m/s at (below the horizontal)
Explanation:
The motion of the ball is a projectile motion, therefore it consists of two independent motions:
- A uniform motion (constant velocity) along the horizontal direction
- A uniformly accelerated motion, with constant acceleration (acceleration of gravity) in the downward direction
This means that:
- The horizontal velocity of the ball is constant, and it is given by
where
u = 35 m/s is the initial speed of the ball
is the angle of projection
Substituting,
- The vertical velocity is changing, and its value is given by
where
is the initial vertical velocity
is the acceleration of gravity (negative because it points down)
t is the time
At t = 2 s,
where the negative sign means that at t = 2 s, the vertical velocity points down.
Now we can find the magnitude of the ball's velocity at 2 sec:
While the direction is given by
Learn more about projectile motion:
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