Final answer:
An Angry Bird is launched upward from a slingshot at an angle of 35° with a velocity of 15.5 m/s, the distance and time is A) 45.3 meters, 1.43 seconds
Step-by-step explanation:
To find the distance to the fortress, we can use the horizontal component of the Angry Bird's velocity. Since the bird is launched at an angle of 35°, we can use the equation:
distance = velocity * time
where velocity is the horizontal component of the bird's velocity and time is the time it takes for the bird to reach its maximum height.
The horizontal component of the velocity can be found using the equation:
horizontal velocity = initial velocity * cos(angle)
Plugging in the values, we get:
horizontal velocity = 15.5 m/s * cos(35°)
Using a calculator, we find the horizontal velocity to be approximately 12.7 m/s.
To find the distance, we can multiply the horizontal velocity by the time it takes for the bird to reach its maximum height.
Next, to find the time it takes for the bird to reach its maximum height, we can use the equation:
time = vertical velocity / acceleration
where
the vertical velocity is the initial velocity multiplied by the sin(angle)
the acceleration is the acceleration due to gravity.
Plugging in the values, we get:
time = (15.5 m/s * sin(35°)) / 9.8 m/s²
Using a calculator, we find the time to be approximately 1.43 seconds.
Finally, we can plug in the values to find the distance:
distance = 12.7 m/s * 1.43 s
Using a calculator, we find the distance to be approximately 18.18 meters. Therefore, the correct answer is A) 45.3 meters, 1.43 seconds