Respuesta :
Answer:
a) 12.0 m/s
b) 9.81 m/s in the downward direction
Explanation:
The initial velocity of the ball in the horizontal direction = 12.0 m/s
a) The velocity of the baseball in the x-direction remains the same therefore, we have;
The velocity of the ball in the x-direction (horizontal direction) after 1 second = 12.0 m/s because there is no net acceleration in the horizontal direction
b) The velocity in the y-direction is given by the following kinematic equation;
v = u - g × t
Where;
v = The final vertical velocity of the ball after t seconds
u = The initial vertical velocity = 0
g = The acceleration due to gravity = 9.81 m/s²
t = The time taken in motion = 1.00 s
Substituting the values gives;
v = 0 - 9.81 m/s² × 1.00 s = -9.81 m/s
v = -9.81 m/s
The vertical velocity of the ball after 1.00 second = -9.81 m/s which is 9.81 m/s downwards.
(a) The final velocity of the ball after 1,0 second in y - direction is -9.8 m/s.
(b) The final velocity of the ball after 1,0 second in x - direction is 12 m/s.
The given parameters:
- initial horizontal velocity of the ball, u = 12 m/s
- time of motion, t = 1 s
The final velocity of the ball after 1,0 second in y - direction is calculated as follows;
[tex]v_f_y = v_0_y - gt\\\\v_f_y = 0 - (9.8\times 1)\\\\v_f_y = -9.8 \ m/s[/tex]
The final velocity of the ball after 1,0 second in x - direction is calculated as follows;
[tex]v_x_f = v_0_x \\\\v_x_f = 12 \ m/s[/tex]
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