Answer:
(a) a = 56.4 m/s², his acceleration a, in multiples of gravity g, is 5.76 g
(b) a = -201.43 m/s², his deceleration -a, in multiples of gravity g, is -20.56 g
Explanation:
(a)
When moving upwards, the initial velocity, u = 0 (he accelerated from rest)
When moving upwards, the final velocity, v = 282 m/s
time of motion during this acceleration, t = 5 s
His acceleration is calculated as;
v = u + at
282 = 0 + 5a
a = 282 / 5
a = 56.4 m/s²
Ratio of his acceleration, a to gravity, g = a/g = 56.4 / 9.8 = 5.76
a = 5.76 g
(b)
When moving downwards, the initial velocity, u = 282 m/s
When moving downwards, the final velocity, v = 0 (he was brought to rest)
time of motion during this deceleration, t = 1.4 s
His deceleration is calculated as;
v = u + at
0 = 282 + 1.4a
1.4a = -282
a = -282 / 1.4
a = -201.43 m/s²
Ratio of his deceleration, -a to gravity, g = -a/g = 201.43 / 9.8 = 20.56
a = -20.56 g
