As an airplane is taking off at an airport its position is closely monitored by radar. The following three positions are measured with their corresponding times: x1 = 478.34 m at t1 = 5.70 s, x2 = 553.20 m at t2 = 6.20 s, x3 = 633.50 m at t3 = 6.70 s. What is the acceleration of the airplane at t2 = 6.20 s? (Assume that the acceleration of the airplane is constant.)
As an airplane is taking off at an airport its position is closely monitored by radar....
As an airplane is taking off at an airport its position is closely monitored by radar. The following three positions are measured with their corresponding times: x1 = 135.94 m at t1 = 3.20 s, x2 = 169.39 m at t2 = 3.70 s, x3 = 206.88 m at t3 = 4.20 s. What is the acceleration of the airplane at t2 = 3.70 s? (Assume that the acceleration of the airplane is constant.)
An airplane travels 600 m down the runway before taking off. If it starts from rest, moves with constant acceleration, and becomes airborne in 15.0s, what is its speed in m/s^-1, when it takes off?
A Boeing 727-200 jet taking off from Lansing airport accelerates from rest for 31.0 s before leaving the ground. Its acceleration is 2.22 m/s2. Assuming that the acceleration is constant, calculate the plane's speed at take off. What is the take off speed in mi/hr?
Table 3.1
Time, t (s)
Position, x (m)
tn/t1
Time Squared, t^2 (s^2)
(tn)^2/(t1)^2
xn/x1
t1, 0.40
x1, 0.25
1.0
.16
1
1
t2, 0.80
x2, 0.36
2.0
.64
4
1.4
t3, 1.2
x3, 0.52
3.0
1.4
9
2.1
t4, 1.6
x4, 0.71
4.0
2.6
16
2.8
t5, 2.0
x5, 0.95
5.0
4.0
25
3.8
t6, 2.4
x6, 1.2
6.0
5.8
36
4.8
Linear fit equation for Position Vs. Time: 0.545x - 0.0530
Quadratic fit equation for Position Vs. Time:...
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