Answer:
27.82m
Step-by-step explanation:
The distance of the cyclist can be calculated using the formula:
S = ut + 1/2 (at^2)
Where; S = distance
u = initial velocity
a = acceleration
t = time
However, to find acceleration, we use:
a = v - u/t, where v is the final velocity
According to this question, u = 4.2m/s, v = 6.3m/s, t = 5.3s
a = 6.3 - 4.2 / 5.3
a = 2.1/5.3
a = 0.396m/s^2
Hence, using S = ut + 1/2 (at^2)
S = (4.2 × 5.3) + 1/2 (0.396 × 5.3 × 5.3)
S = 22.26 + 5.56
S = 27.82
Therefore, the cyclist travel in 27.82m