Question

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 meters, travelled by the motorcycle

Answer 1

Answer:

29u

Step-by-step explanation:

a=(V-U)/t=(1.2u-u)/10=0.02u

D1=V₀t+0.5at²=u*10+0.5*0.02u*10*10=11u

D2=V*t=1.2u*15=18u

D=D1+D2=29u

Answer 2

Total Distance Covered d  = 29u  m

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

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