Can somone help me with this problem I have been stuck on it for a while. The answer is 17.1m but I dont understand how to get it. If you dont know dont answer or I will report you.

Hi There, Buddy!

To solve this problem, let us divide the entire motion into 2 phases

1.) When the elevator is moving with an acceleration

2.) When the elevator has a deceleration

For the first half -

u = 0 , a = 0.6 , t = t1

v = 0.6(t1)   ( 1 )

s = 1/2 x 0.6 x (t1)^2 = 0.3(t1^2) ( 2 )

For the second half -

u = 0.6(t1) , a = -0.8 , v = 0

0.6 x (t1) = 0.8 (t2) > 3(t1) = 4(t2) ( 3 )

0.36(t1)^2 = 1.6 s2 ( 4 )

Now, we know that the total time taken is 10 seconds

t1 + t2 =10 , 3t1 = 4t2 t1 = 40/7 , t2 = 30/7

Now, substitute values of t1 and t2 in s1 and s2 and add both s1 and s2 to get total distance travelled.

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force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.