I change every second what am i
2 answers:
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Answer:
Option A
Explanation:
The Equation represents the displacement of the object which is represented by x
so, means when time is zero so we replace t with zero in the equation,
now for v which is velocity we need to differentiate the function as the formula for velocity is rate of change of displacement over time so we derivate the equation once and get,
now for we insert t = 0 and get
now for a which is acceleration the formula of acceleration is rate of change of velocity over time, so we differentiate the the equation of v(velocity) once or the equation of x(displacement) twice so now we get,
so Option A is your answer.
Remember derivative of a constant is always zero because a constant value has no rate of change has its a constant hence the derivative is 0
The individual directions of motion of Chirpy and Milada are components of projectile motion. A projectile motion is characterized by a motion in the shape of an arc. The thing about projectile motion is, the horizontal component and the vertical component are independent of each other. The horizontal motion acts on constant velocity, while the vertical motion acts on a constant acceleration equal to the force of gravity, 9.81 m/s². Even though they are independent, there is a relationship between them called the trajectory of a projectile equation:
y = xtanθ + gx²/2v²cos²θ
where
y is the vertical height
x is the horizontal range
θ is the angle of inclination
g is 9.81 m/s²
v is the initial velocity
Since Milada jumps horizontally, there is no angle of inclination: θ=0°. The initial velocity is equal to 95 cm/s or 0.95 m/s. Now, we have to determine x. But we can't do that without finding y first. This can be obtained from Chirpy's downward motion. In a free falling motion, the time of flight is equal to
t = √2y/g
2.70 = √2y/9.81
y = 35.757 m
Now, we can solve for x. I suggest you use your scientific calculator so that you can easily solve for x.
35.757 = xtan0° + (9.81)x²/2(0.95)²cos²0°
x = 2.565
Therefore, Melinda hits the ground 2.565 meters away from the base of the cliff.
y = xtanθ + gx²/2v²cos²θ
where
y is the vertical height
x is the horizontal range
θ is the angle of inclination
g is 9.81 m/s²
v is the initial velocity
Since Milada jumps horizontally, there is no angle of inclination: θ=0°. The initial velocity is equal to 95 cm/s or 0.95 m/s. Now, we have to determine x. But we can't do that without finding y first. This can be obtained from Chirpy's downward motion. In a free falling motion, the time of flight is equal to
t = √2y/g
2.70 = √2y/9.81
y = 35.757 m
Now, we can solve for x. I suggest you use your scientific calculator so that you can easily solve for x.
35.757 = xtan0° + (9.81)x²/2(0.95)²cos²0°
x = 2.565
Therefore, Melinda hits the ground 2.565 meters away from the base of the cliff.