A snowmobile has an initial velocity of 4.7 m/s. If it accelerates at the rate of 0.73 m/s2 for 5.6s, what is the final velocity? Answer in units of m/s, If instead it accelerates at the rate of -0.51 m/s², how long will it take to reach a complete stop?
Answers
Given:-
→Initial velocity of the
snowmobile = 4.7m/s
→Acceleration (for case 1) = 0.73m/s²
→Acceleration (for case 2) = -0.51m/s²
To find:-
→Final velocity (Case 1)
→Time taken by the snowmobile
to stop (Case 2)
Solution:-
Case 1:-
In this case, we have to find the final velocity of the snowmobile.
By using the 1st equation of motion,
we get:-
=>v = u+at
=>v = 4.7 + (0.73)5.6
=>v = 4.7+4.088
=>v = 8.788m/s
Thus,final velocity of the snowmobile is 8.788m/s.
Case 2:-
In this case ,we have to find the time taken by the snowmobile to stop.
•Final velocity of the snowmobile will be zero as it ultimately stops i.e. comes to rest.
By using the 1st equation of motion,we get:-
=>v = u+at
=>0 = 4.7+(-0.51)t
=> -4.7 = -0.51t
=>t = -4.7/-0.51
=>t = 9.22s. (approximately)
Thus,the snowmobile will take
9.22 seconds to reach a complete stop.
Explanation:
9.22 second
here is your answer.