Answer:
The green ball will get to the ground first because the time taken for the green ball to get to the ground is small when compared to that of the red ball.
Explanation:
From the question given above, the following data were obtained:
For the Red ball:
Initial velocity (u) = 40 m/s
For the Green ball:
Initial velocity (u) = 20 m/s.
Next, we shall determine the time taken for each ball to get to its maximum height.
For the Red ball:
Initial velocity (u) = 40 m/s
Acceleration due to gravity (g) = 9.8 m/s²
Final velocity (v) = 0 m/s (at maximum height)
Time (t) to reach the maximum height =?
v = u – gt (since the ball is going against gravity)
0 = 40 – 9.8t
Rearrange
9.8t = 40
Divide both side by 9.8
t = 40/9.8
t = 4.08 s
For the Green ball:
Initial velocity (u) = 20 m/s.
Acceleration due to gravity (g) = 9.8 m/s²
Final velocity (v) = 0 m/s (at maximum height)
Time (t) to reach the maximum height =?
v = u – gt (since the ball is going against gravity)
0 = 20 – 9.8t
Rearrange
9.8t = 20
Divide both side by 9.8
t= 20/9.8
t = 2.04 s
Finally, we shall determine the time taken for each ball to reach the ground.
For Red ball:
Time (t) to reach maximum height = 4.08 s
Time (T) to reach the ground =?
T = 2t
T = 2 × 4.08
T = 8.16 s
For Green ball:
Time (t) to reach maximum height = 2.04 s
Time (T) to reach the ground =?
T = 2t
T = 2 × 2.04
T = 4.08 s
Summary:
Ball >>>>>> Time to reach the ground
Red >>>>>> 8.16 s
Green >>>> 4.08 s
From the above illustration, we can see that the green ball will get to the ground first because the time taken for the green ball to get to the ground is small when compared to that of the red ball.