A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds. The motorcycle then travels at a constant speed of 1.2u m/s for 15 seconds. Assuming that the acceleration is constant, express the total distance, D in metres, traveled by the motorcycle.

Step-by-step explanation:

A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds

V = U + at

1.2u = u + a*10

=> a = 0.02u

S = ut + (1/2) at²

Distance in 1st 10 secs

S = u (10) + (1/2) (0.02) (10) ²

=> S = 10u + u

=> S = 11u m

Constant speed 1.2u for 15 secs

S = 1.2u * 15

=> S = 18u m

Total Distance Covered d = 11u + 18u = 29u m