Question

Kecepatan burung dalam arah sumbu X dan Y berturut-turut Vx = 4t dan Vy = 5t - 4. Jika Vx dan Vy dalam m/s dan t dalam sekon, besar dan arah kecepatan terhadap tanah saat t= 2s adalah .....


a. 6m/s ke arah 37°
b. 8m/s ke arah 37°
c. 8m/s ke arah 53°
d. 10m/s ke arah 37°
e. 10m/s ke arah 53°

Answer 1

Answer:

please type in English! !

Answer 2

The velocity is 10 m/s at an angle of 37 degrees

Explanation:

Given that,

Velocity in x direction, $v_x=4t$

At t = 2s, $v_x=4(2)=8\ m/s$

Velocity in y direction, $v_y=5t-4$

At t = 2s, $v_y=5t-4=5\times 2-4=6\ m/s$

Let v is the resultant velocity. It is given by :

$v=\sqrt{v_x^2+v_y^2}$

$v=\sqrt{8^2+6^2}$

v = 10 m/s

To find direction of velocity,

$tan\theta=\dfrac{v_y}{v_x}$

$tan\theta=\dfrac{6}{8}$

$\theta=36.86^{\circ}$

or

$\theta=37^{\circ}$

So, the velocity is 10 m/s at an angle of 37 degrees. Hence, this is the required solution.

Learn more :

Velocity

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