Answer to Question #244646 in Physics for Have a good day

Question #244646

You are driving your car, and the traffic light ahead turns red. You apply the brakes for 2.94 s, and the velocity of the car decreases to +5.35 m/s. The car’s deceleration has a magnitude of 2.98 m/s2 during this time. What is the car’s displacement?


1
Expert's answer
2021-10-08T08:11:05-0400

Let's first find the initial velocity of the car:


v=v0+at,v=v_0+at,v0=vat=5.35 ms(2.98 ms2)2.94 s=14.11 ms.v_0=v-at=5.35\ \dfrac{m}{s}-(-2.98\ \dfrac{m}{s^2})\cdot2.94\ s=14.11\ \dfrac{m}{s}.

Finally, we can find the car’s displacement:


d=v0t+12at2,d=v_0t+\dfrac{1}{2}at^2,d=14.11 ms2.94 s+12(2.98 ms2)(2.94 s)2=28.6 m.d=14.11\ \dfrac{m}{s}\cdot2.94\ s+\dfrac{1}{2}\cdot(-2.98\ \dfrac{m}{s^2})\cdot(2.94\ s)^2=28.6\ m.

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