A. The initial speed in which the ball should be thrown is 27.65 m/s
B. The total time spent by the ball in the air is 5.64 s.
A. Determination of the initial velocity
- Maximum height (h) = 39 m
- Final velocity (v) = 0 m/s
- Acceleration due to gravity (g) = 9.8 m/s²
v² = u² – 2gh (since the ball is going against gravity)
0² = u² – (2 × 9.8 × 39)
0 = u² – 764.4
Collect like terms
u² = 0 + 764.4
u² = 764.4
Take the square root of both side
u = √764.4
u = 27.65 m/s
B. Determination of the total time spent by the ball in the air.
We'll begin by calculating the time taken to reach the maximum height.
- Maximum height (h) = 39 m
- Initial velocity (u) = 27.65 m/s
- Final velocity (v) = 0 m/s
- Time to reach maximum height (t) =?
s = ½(u + v)t
39 = ½(27.65 + 0)t
39 = ½ × 27.6 × t
39 = 13.825 × t
Divide both side by 13.825
t = 39 / 13.825
t = 2.82 s
Finally, we shall determine the total time.
- Time to reach maximum height (t) = 2.82 s.
- Total time in the air (T) =?
T = 2t
T = 2 × 2.82
T = 5.64 s
Therefore, the total time spent by the ball in the air is 5.64 s
Learn more about projectile motion: brainly.com/question/15824795
Answer:
A) A circle starting at time t=0 on the positive x axis
.
B) .
C) v(t)=Rω[-sin(ωt)i^+cos(ωt)j^]
D) v(t)=Rω
E) a(t)=-R[cos(ωt)i^+sin(ωt)j^]
F) a(t)=-r(t)
G) (There is no Part G)
H) a=/R
Explanation:
The particle's motion is a circle starting at t=0 on the positive x axis since r(0)=R[cos(0)i^+sin(0)j^]=R[i^]. The particle first cross the negative x axis when r(t)=-R[i^], which means cos(ωt)=-1, or , so we have . The particle's velocity is the derivative of its position, so v(t)=Rω[-sin(ωt)i^+cos(ωt)j^], while its speed is the magnitude of that vector, v(t)=Rω (since the magnitude of the vector -sin(ωt)i^+cos(ωt)j^ is 1). The particle's acceleration is the derivative of its velocity, so a(t)=-R[cos(ωt)i^+sin(ωt)j^], or in terms of its position a(t)=-r(t), and its magnitude using the expression obtained for the speed of the particle, a=R=R/=/R.
The law of superposition in sedimentary and extrusive igneous rocks states that an upper bed of rock is younger than a lower one, provided that earth-movements have not reversed the order. Radioactive dating is the use of radioactive elements to determine the age of different items. The premise of radioactive decay is dependent on the fact that unstable elements break down at a fixed rate into other elements. Hence the age of rocks containing radioactive elements can be determined.
The one word that fills all blanks is nothing.
1. Nothing is sweeter than honey.
2. Nothing is hotter than sun.
3. A king wants nothing.
4. A beggar has nothing.
5. If you eat nothing, you will die.
Answer:
Heat can travel from one place to another in three ways: Conduction, Convection and Radiation. Both conduction and convection require matter to transfer heat. If there is a temperature difference between two systems heat will always find a way to transfer from the higher to lower system.
Explanation:
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