对于上抛物体,在不计空气阻力的情况下,有如下关系式: h=v0t-gt2,其中h(米)是上抛物体上升的高度,v0
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图像过(3,45),(6,0),将两点坐标代入h=v0t-1/2gt^2得:
45 = v0*3 - 1/2g*3^2 = 3v0 - 9/2 g ......(1)
0 = v0*6 - 1/2g*6^2 = 6v0 - 18 g ......(2)
由(2)得:v0=3g,将其代入(1)得:
45 = 3*3g-9/2g = 9/2g
g = 10m/s^2
v0 = 3g = 30m/s
h = v0t-1/2gt^2 = 30t-5t^2
h=25
25 = 30t-5t^2
5 = 6t-t^2
t^2-6t+5 = 0
(t-1)(t-5) = 0
t1=1,t2 = 5
1秒,或5s后,物体在离抛出点25米高的地方。
45 = v0*3 - 1/2g*3^2 = 3v0 - 9/2 g ......(1)
0 = v0*6 - 1/2g*6^2 = 6v0 - 18 g ......(2)
由(2)得:v0=3g,将其代入(1)得:
45 = 3*3g-9/2g = 9/2g
g = 10m/s^2
v0 = 3g = 30m/s
h = v0t-1/2gt^2 = 30t-5t^2
h=25
25 = 30t-5t^2
5 = 6t-t^2
t^2-6t+5 = 0
(t-1)(t-5) = 0
t1=1,t2 = 5
1秒,或5s后,物体在离抛出点25米高的地方。
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