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BlackZzzverrR [31]
2 years ago
14

. The free throw line in basketball is 4.57 m (15 ft) from the basket, which is 3.05 m (10 ft) above the floor. A player standin

g on the free throw line throws the ball with an initial speed of 8.15 m/s, releasing it at a height of 2.44 m (8 ft) above the floor. At what angle above the horizontal must the ball be thrown to exactly hit the basket? Note that most players will use a large initial angle rather than a flat shot because it allows for a larger margin of error. Explicitly show how you follow the steps involved in solving projectile motion problems.
Physics
1 answer:
pentagon [3]2 years ago
7 0

Answer:

\theta = 67.22 degree

Explanation:

Let say the ball is projected at an angle with horizontal

So here two components of the velocity of the ball is given as

v_x = 8.15 cos\theta

v_y = 8.15 sin\theta

now the displacement in x direction is given as

x = v_x t

4.57 = (8.15 cos\theta)t

in y direction it is given as

y = y_o + v_y t - \frac{1}{2}gt^2

3.05 = 2.44 + (8.15 sin\theta) t - 4.9 t^2

now from above two equations

0.61 = 4.57 tan\theta - 4.9(\frac{4.57}{8.15 cos\theta})^2

0.61 = 4.57 tan\theta - 1.54(1 + tan^2\theta)

1.54 tan^2\theta - 4.57 tan\theta + 2.15 = 0

\theta = 67.22 degree

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a person runs 27.0km west then turns around and runs 13.0km east what's the distance and displacement ?
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Answer:

See below

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Xc = 1 / ω C = 1 / (4714 x 15 x 10^-6) = 14.14 ohm

Impedance, Z = \sqrt{R^{2}+\left ( XL - Xc \right )^{2}}

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Answer:

Explanation:

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Here, K x i = - j

As K is the unit vector along Z axis, i is the unit vector along X axis and j be the unit vector along  axis.

The direction of cross product of two vectors is given by the right hand palm rule.

So, k x i = j

j x i = - k

- j x k = - i

i x i = 0

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3 years ago
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