An antelope moving with constant acceleration covers the distance between

Joseph Krupa 2021-12-14 Answered

An antelope moving with constant acceleration covers the distance between two points 70.0 m apart in 6.00 s. Its speed as it passes the second point is 15.0 m/s. What are (a) its speed at the first point and (b) its acceleration?

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limacarp4
Answered 2021-12-15 Author has 39 answers

a) Since that is a motion with a constant acceleration, we can use the following two equations
vx=vx,0+axt
xxo=vx,ot+12axt2
where (vx=15 ms) is the speed at the second point, (xxo=70) is the traveled distance and t=6 s. Substitutte for vx,ax and t into the two equations to get the following
15ms=vx,o+(6s)ax
rearrange the equation to isolate ax
ax=(15 ms)vx,o6 s
70 m=(6 s)vx,o+(18 s2)ax
Substitute for ax from equation (1) into equation (2)
70 m=(6 s)vx,o+(45 m)(3 s)vx,o
rearrange the equation and solve to find vx,o
vx,o=(7045) m3 s=8.33 ms
b) The acceleration can be determined by substituting the value of vx,o into equation
ax=(15 ms)8.33 ms6 s=1.11 ms2

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