Answer:
the time taken for the ball to hit the ground is 0.424 s
Explanation:
Given;
velocity of the ball, u = 5 m/s
height of the house which the ball was kicked, h = 3m
Apply kinematic equation;
h = ut + ¹/₂gt²
where;
h is height above ground
u is velocity
g is acceleration due to gravity
t is the time taken for the ball to hit the ground
Substitute the given values and solve for t
3 = 5t + ¹/₂(9.8)t²
3 = 5t + 4.9t²
4.9t² + 5t -3 = 0
a = 4.9, b = 5, c = -3
Solve for t using formula method

Answer:
230.4 N
Explanation:
Applying,
F = kqq'/r²..................... Equation 1
Where F = Electric force, k = Coulomb's constant, q = charge in the ballon, q' = charge in the denium, r = distance between the charges.
From the question,
Given: q = -8.0×10⁻⁶ C, q' = +8.0×10⁻⁶ C, r = 0.05 m
Constant: k = 9×10⁹ Nm²/C²
Substitute these values into equation 1
F = (9×10⁹×8.0×10⁻⁶×8.0×10⁻⁶ )/0.05²
F = (576×10⁻³)/0.0025
F = 230.4 N.
The height of the plane delivering a food package to people stranded on an island is 722.2 m.
<h3>
Time of motion of the food package</h3>
The time taken for the food package to hit the ground level is calculated as follows;
X = vt
where;
- X is horizontal distance traveled by the food package
- v is horizontal distance
- t is time of motion
t = X/v
t = 789/65
t = 12.14 seconds
<h3>Height of the plane</h3>
h = ¹/₂gt²
where;
- h is height of fall of the food package which is height of the plane
- t is time of motion of food package
- g is acceleration due to gravity
h = (0.5)(9.8)(12.14²)
h = 722.2 m
Thus, the height of the plane delivering a food package to people stranded on an island is 722.2 m.
Learn more about height here: brainly.com/question/1739912
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