Answer to Question #95907 in Physics for Alaa

Question #95907
Can some solve this problem please??
A car was moving at 12.0m/s when it hit a tree according to the damage which occurred The skid marks before the crash were 10.0m long And the acceleration must have been about -7.0 m/s^2 given the nature of the marksHow fast was the car moving before the skid?
1
Expert's answer
2019-10-07T10:47:09-0400

Let the initial speed of the car be v0v_0 and the speed before hitting the tree v=12msv = 12 \frac{m}{s}. Let the distance be L=10mL = 10 m, and the acceleration a=7ms2a = -7 \frac{m}{s^2}. The equations of the retarded motion are then:

v=v0+atv = v_0 + a t, L=v0t+at22L = v_0 t + \frac{a t^2}{2}.

Substituting t=vv0at = \frac{v-v_0}{a} from the first equation into the second, obtain:

L=v0(vv0)a+a(vv0)22a2=12a(v2v02)L = \frac{v_0(v-v_0)}{a} + \frac{a(v-v_0)^2}{2 a^2} = \frac{1}{2 a}(v^2-v_0^2) , from where the initial speed is v0=v22Sa16.85msv_0 = \sqrt{v^2 - 2 S a} \approx 16.85 \frac{m}{s}.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment