Step-by-step explanation:
1.
use equation 1
vf = vi + a×t = 5.2 + 2.3×7 = 21.3 m/s
deltax (displacement) not needed
vi = 5.2 m/s
vf = 21.3 m/s
a = 2.3 m/s²
t = 7 s
2.
use equation 4.
vf² = vi² + 2×a×deltax
47² = vi² + 2×4.7×150
2209 = vi² + 1410
vi² = 799
vi = 28.26658805... m/s
deltax = 150 m
vi = 28.26658805... m/s
vf = 47 m/s
a = 4.7 m/s²
t not needed
3.
use equation 2.
deltax = (vf + vi)×t/2
228 = (3.15 + 3.15)×t/2
456 = 6.3×t
t = 456/6.3 = 72.38095238... s
deltax = 228 m
vf = 3.15 m/s
vi = 3.15 m/s
a not needed
t = 72.38095238... s
4.
use equation 5.
deltax = vf×t - 1/2 × a×t²
897 = 0×15.5 - 1/2 × a×15.5² = -1/2 ×a×240.25 = a×-120.125
a = 897/-120.125 = -7.467221644... m/s²
deltax = 897 m
vi not needed
vf = 0 m/s
a = -7.467221644... m/s²
t = 15.5 s
Gazelle vs. Lion.
use equation 2.
deltax = (vf + vi)×t/2
deltax = (18.4 + 0)×3.09/2 = 18.4×3.09/2 =
= 9.2×3.09 = 28.428 m
deltax = 28.428 m
vi = 0 m/s
vf = 18.4 m/s
a not needed
t = 3.09 s
