Answer:
a) Final velocity of the dragster at the end of 1.8 s = 75.6 m/s
b) Final velocity of the dragster at the end of 3.6 s = 151.2 m/s
c) The displacement of the dragster at the end of 1.8 s = 68.04 m
d) The displacement of the dragster at the end of 3.6 s = 272.16 m
Explanation:
a) We have equation of motion v = u + at
Initial velocity, u = 0 m/s
Acceleration , a = 42 m/s²
Time = 1.8 s
Substituting
v = u + at
v = 0 + 42 x 1.8 = 75.6 m/s
Final velocity of the dragster at the end of 1.8 s = 75.6 m/s
b) We have equation of motion v = u + at
Initial velocity, u = 0 m/s
Acceleration , a = 42 m/s²
Time = 3.6 s
Substituting
v = u + at
v = 0 + 42 x 3.6 = 75.6 m/s
Final velocity of the dragster at the end of 3.6 s = 151.2 m/s
c) We have equation of motion s= ut + 0.5 at²
Initial velocity, u = 0 m/s
Acceleration , a = 42 m/s²
Time = 1.8 s
Substituting
s= ut + 0.5 at²
s = 0 x 1.8 + 0.5 x 42 x 1.8²
s = 68.04 m
The displacement of the dragster at the end of 1.8 s = 68.04 m
d) We have equation of motion s= ut + 0.5 at²
Initial velocity, u = 0 m/s
Acceleration , a = 42 m/s²
Time = 3.6 s
Substituting
s= ut + 0.5 at²
s = 0 x 3.6 + 0.5 x 42 x 3.6²
s = 272.16 m
The displacement of the dragster at the end of 3.6 s = 272.16 m