For a given projectile, launched at an angle of 45 ° with the horizontal. Initial velocity is 64 feet per sec , find the parametric equations for the path of the projectile in terms of the parameter t representing time.
For a given projectile, launched at an angle of 45 ° with the horizontal. Initial velocity is 64 feet per sec , find the parametric equations for the path of the projectile in terms of the parameter t representing time.
Solution Summary: The author explains the parametric equations for the path of a projectile in terms of the parameter t representing time.
To calculate: For a given projectile, launched at an angle of 45° with the horizontal.
Initial velocity is 64 feet per sec, find the parametric equations for the path of the projectile in terms of the parameter t
representing time.
(b)
To determine
To calculate: The projectile is launched at an angle of 45° with the horizontal. The initial velocity is 64 feet per sec is given, find the angle α that the camera makes with the horizontal in terms of x and y and interms of t.
(c)
To determine
To calculate: The equation is α=tan−1(322t−16t2322t+50) is given, find the value of dαdt.
(d)
To determine
To graph: The provided equation is α=tan−1(322t−16t2322t+50), graph the provided equation of α in terms of t and find out if the graph is symmetric to the axis of parabolic arch of the projectile and also determine the time at which the rate of change of α is greatest.
(e)
To determine
To calculate: The provided equation is α=tan−1(322t−16t2322t+50), find the time at which the angle α is maximum and also find out if this occur when the projectile is at its greatest height.
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A particle moves linearly from the point (- 2,4) to (10,0) in 4 seconds. Find parametric
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