Answer:
Step-by-step explanation:
Given :-
- a car accelerates from 10 m/s to 40 m/s in 6.0 s
- Initial velocity = 10 m/s
- final Velocity = 40 m/s
To Find :-
- how far did it travel in this time
Solution :-
Using kinematics first equation here,
=> v = u + at
- u = initial velocity
- v = final Velocity
- a = acceleration
- t = time taken
=> 40 = 10 + a × 6
=>b40 - 10 = a × 6
=> 30 = a × 6
=> 30/6 = a
=> 5 m/s² = a
Now again using kinematics second equation here,
=> s = ut + 1/2at²
- s = displacement
- u = initial velocity
- v = final Velocity
- a = acceleration
- t = time taken
=> s = 10× 6 + 1/2 × 5 × 6 × 6
=> s = 60 + 1/2 × 5 × 36
=> s = 60 + 13 × 5
=>bs = 60 + 65
=> s = 125 m
- So the distance travel in this time is 125 m