# Answer in Math for Felix Coleman #115881

The kinematic equation for the first car

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Answer in Math for Felix Coleman #115881
Just from $13/Page “s_1=v_1t” “72km/h=20m/s” “s_1=20t” The kinematic equation for the police car, accelerating uniformly to reach a speed of 90 kmh−1 “v_{pol1}=at_1” “s_{pol1}={at_1^2\over 2}” Given “v_{pol1}=90km/h=25m/s, t_1=10s” Then “a={v_{pol1}\over t_1}={25m/s\over 10s}=2.5m/s^2” “s_{pol1}={2.5m/s^2\cdot(10s)^2\over 2}=125m” The kinematic equation for the police car with the constant speed “s_{pol2}=v_{pol1}t_2” The police car overtakes the other car “s=s_{pol1}+s_{pol2}” “t=t_1+t_2” Substitute “20m/s\cdot(10s+t_2)=125m+25m/s\ \cdot t_2” “t_2=15s” (a) “t=10s+15s=25s” The time taken by the police to catch up with the car, is 25 seconds. (b) “s=20m/s\cdot25s=500m” The distance travelled by the police car when this happens is 500 m. 2. Train A “0\leq t\leq120s” “a_I=0.125m/s^2” “v_I=a_I\cdot t=0.125t, v_I(120)=0.125m/s^2\cdot120s=15m/s” “s_I=\dfrac{a_I\cdot t^2}{2}=0.0625t^2” “s_I(120)=0.0625m/s^2\cdot(120s)^2=900m” “120s\leq t\leq 360s” “a_{II}=0” “v_{II}=15m/s=const,v_{II}(360s)=15m/s” , “s_{II}=s_I(120)+v_{II}\cdot(t-10s)=900m+15m/s\cdot(t-120s)” “s_{II}(360)=900m+15m/s\cdot(360s-120s)=4500m” “360s\leq t\leq600s” “v_{III}=v_{II}+a_{III}\cdot(t-360s)” “v{III}(600)=0=15m/s+a_{III}\cdot(600s-360s)” “a_{III}=\dfrac{-15m/s}{240s}=-0.0625m/s^2” “s_{III}=s_{II}(360)+v_{II}(360)\cdot(t-360s)+{a_{III}\cdot(t-360s)^2\over2}=” “=4500m+15m/s\cdot(t-360s)-{0.0625m/s^2\cdot(t-360s)^2\over2}” “s_{III}(600)=6300m” Train B “0\leq t\leq300s” “u_I=a_I\cdot t” “u_I(300)=300a_I” “d_I=\dfrac{a_I\cdot t^2}{2}” “d_I(300)=\dfrac{a_I\cdot (300s)^2}{2}=45000a_I” “300\leq t\leq600s” “u_{II}=u_I(300)+a_{II}\cdot (t-300)” “u_{II}(600)=0=300a_I+300a_{II}=>a_{II}=-a_I” “d_{II}=d_I(300)+u_I(300)\cdot (t-300)+\dfrac{a_{II}\cdot (t-300)^2}{2}=” “=45000a_I+300a_I\cdot(t-300)-\dfrac{a_I\cdot (t-300)^2}{2}” “d_{II}(600)=45000a_I+90000a_I-45000a_I=s_{III}(600)=6300m” “a_I=0.07m/s^2” (a) the distance (in m) travelled “6300m” (b) the acceleration of train B “0.07m/s^2” at first half of time, “-0.07m/s^2” at second half of time. (c) the distance between the two trains after 3 minutes. Train A “s_{II}(180)=900m+15m/s\cdot(180s-120s)=1800m” Train B “d_I(180)=\dfrac{0.07m/s^2\cdot (180s)^2}{2}=1134m” “1800m-1134m=666m” The distance between the two trains after 3 minutes is 666 m. # What Will You Get? We provide professional writing services to help you score straight A’s by submitting custom written assignments that mirror your guidelines. #### Premium Quality Get result-oriented writing and never worry about grades anymore. We follow the highest quality standards to make sure that you get perfect assignments. #### Experienced Writers Our writers have experience in dealing with papers of every educational level. You can surely rely on the expertise of our qualified professionals. #### On-Time Delivery Your deadline is our threshold for success and we take it very seriously. We make sure you receive your papers before your predefined time. #### 24/7 Customer Support Someone from our customer support team is always here to respond to your questions. So, hit us up if you have got any ambiguity or concern. #### Complete Confidentiality Sit back and relax while we help you out with writing your papers. We have an ultimate policy for keeping your personal and order-related details a secret. #### Authentic Sources We assure you that your document will be thoroughly checked for plagiarism and grammatical errors as we use highly authentic and licit sources. #### Moneyback Guarantee Still reluctant about placing an order? Our 100% Moneyback Guarantee backs you up on rare occasions where you aren’t satisfied with the writing. #### Order Tracking You don’t have to wait for an update for hours; you can track the progress of your order any time you want. We share the status after each step. #### Areas of Expertise Although you can leverage our expertise for any writing task, we have a knack for creating flawless papers for the following document types. # Trusted Partner of 9650+ Students for Writing From brainstorming your paper's outline to perfecting its grammar, we perform every step carefully to make your paper worthy of A grade. ##### Preferred Writer Hire your preferred writer anytime. Simply specify if you want your preferred expert to write your paper and we’ll make that happen. ##### Grammar Check Report Get an elaborate and authentic grammar check report with your work to have the grammar goodness sealed in your document. ##### One Page Summary You can purchase this feature if you want our writers to sum up your paper in the form of a concise and well-articulated summary. ##### Plagiarism Report You don’t have to worry about plagiarism anymore. Get a plagiarism report to certify the uniqueness of your work. ## Free Features$66FREE

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