2. While creating a first-person shooter video game, you want to model the animation of a missile's positions throughout its flight in the air as a function of time. In your model, you are considering that the missile is fired from the player's position, and it spends a certain amount of time in the air. The missile's position as a function of time is defined by the following function. F(t) = [0.03m + (2/t²)m/s*] î – [(5m/s)t – 0.2m] ĵ %3D (a) Calculate the average velocity of the missile between time t = 2sec to t = 4sec. (b) Calculate the average acceleration of the missile between time t = 2 sec to t = 4 sec. (c) Calculate the instantaneous accelerations of the missile at time t = 2 sec.
2. While creating a first-person shooter video game, you want to model the animation of a missile's positions throughout its flight in the air as a function of time. In your model, you are considering that the missile is fired from the player's position, and it spends a certain amount of time in the air. The missile's position as a function of time is defined by the following function. F(t) = [0.03m + (2/t²)m/s*] î – [(5m/s)t – 0.2m] ĵ %3D (a) Calculate the average velocity of the missile between time t = 2sec to t = 4sec. (b) Calculate the average acceleration of the missile between time t = 2 sec to t = 4 sec. (c) Calculate the instantaneous accelerations of the missile at time t = 2 sec.
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![2. While creating a first-person shooter video game, you want to model the animation
of a missile's positions throughout its flight in the air as a function of time. In your
model, you are considering that the missile is fired from the player's position, and
it spends a certain amount of time in the air.
The missile's position as a function of time is defined by the following function.
F(t) = [0.03m + (2/t²)m/s*] î – [(5m/s)t – 0.2m] ĵ
(a) Calculate the average velocity of the missile between time t = 2sec to t = 4sec.
(b) Calculate the average acceleration of the missile between time t = 2 sec to
t = 4 sec.
(c) Calculate the instantaneous accelerations of the missile at time t = 2 sec.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ce4e49d-69f2-4d14-ac02-4cb78991c6d0%2Fab54d0eb-525a-40b0-9d5a-b7bdbb459eb7%2Fnhgigk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. While creating a first-person shooter video game, you want to model the animation
of a missile's positions throughout its flight in the air as a function of time. In your
model, you are considering that the missile is fired from the player's position, and
it spends a certain amount of time in the air.
The missile's position as a function of time is defined by the following function.
F(t) = [0.03m + (2/t²)m/s*] î – [(5m/s)t – 0.2m] ĵ
(a) Calculate the average velocity of the missile between time t = 2sec to t = 4sec.
(b) Calculate the average acceleration of the missile between time t = 2 sec to
t = 4 sec.
(c) Calculate the instantaneous accelerations of the missile at time t = 2 sec.
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