4. A stunt plane flying at the Reno Air Races is moving through the sky. The rectangular coordinates describing its motion are: x = -0.74t³ + 2.5t² + 10.25t y = -6.23t² + 16.45t + 8.94 where x and y are given in ft and t is given in seconds. a. Calculate the velocity vector, v, and acceleration, a, of the plane after 10 seconds (velocity is in ft/s and acceleration is in ft/s²). You may want to look back at your Topic 2 notes to recall how position, velocity, and acceleration are related. Your final answer should be given in vector form. b. Calculate the magnitude of the velocity (in mph) and the acceleration (in ft/s²) at t = 10 sec. [Ans. to Check: v= 132.46 mph; a = 41.32 ft/s²]

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4. A stunt plane flying at the Reno Air Races is moving through the sky. The rectangular coordinates
describing its motion are:
x = -0.74t³ + 2.5t² + 10.25t
y = -6.23t² + 16.45t + 8.94
where x and y are given in ft and t is given in seconds.
a. Calculate the velocity vector, v, and acceleration, a, of the plane after 10 seconds (velocity is in
ft/s and acceleration is in ft/s²). You may want to look back at your Topic 2 notes to recall how
position, velocity, and acceleration are related. Your final answer should be given in vector form.
b. Calculate the magnitude of the velocity (in mph) and the acceleration (in ft/s²) at t = 10 sec.
[Ans. to Check: v = 132.46 mph; a = 41.32 ft/s²]
Transcribed Image Text:4. A stunt plane flying at the Reno Air Races is moving through the sky. The rectangular coordinates describing its motion are: x = -0.74t³ + 2.5t² + 10.25t y = -6.23t² + 16.45t + 8.94 where x and y are given in ft and t is given in seconds. a. Calculate the velocity vector, v, and acceleration, a, of the plane after 10 seconds (velocity is in ft/s and acceleration is in ft/s²). You may want to look back at your Topic 2 notes to recall how position, velocity, and acceleration are related. Your final answer should be given in vector form. b. Calculate the magnitude of the velocity (in mph) and the acceleration (in ft/s²) at t = 10 sec. [Ans. to Check: v = 132.46 mph; a = 41.32 ft/s²]
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