01234ÿÿ ÿ671884ÿÿ ÿ 9 ÿÿÿÿÿ ÿ ÿ ÿ !ÿ "#ÿ%&3'()*ÿ+7,'ÿ1-.ÿ/-'30+03'ÿ./8'-(31'/231-.ÿ8+33.1'/23ÿ201+)8ÿ 3#ÿ43'302/-3*ÿ5617/'1'/7378*ÿ90,2ÿ2/73-ÿ.1'1ÿ,0ÿ')3ÿ8)1+3ÿ,9ÿ1ÿ./8'1-(31'/23ÿ201+)ÿ,0ÿ8+33.1'/23ÿ 201+)ÿ:)3-ÿ1-ÿ,;<3('ÿ/8ÿ1'ÿ038'*ÿ2,:/-2ÿ:/')ÿ(,-8'1-'ÿ8+33.*ÿ1((37301'/-2*ÿ1-.ÿ.3(37301'/-2ÿ =#ÿ617(671'3ÿ8+33.ÿ90,2ÿ')3ÿ201./3-'ÿ,9ÿ1ÿ8'01/2)'17/-3ÿ83('/,-ÿ,9ÿ1ÿ./8'1-(31'/23ÿ201+)ÿ >#ÿ617(671'3ÿ')3ÿ1031ÿ6-.30ÿ1ÿ8+33.1'/23ÿ201+)ÿ',ÿ.3'302/-3ÿ')3ÿ./8'1-(3ÿ'0173773.ÿ9,0ÿ2,'/,-ÿ:/')ÿ (,-8'1-'ÿ8+33.ÿ,0ÿ(,-8'1-'ÿ1((37301'/,-ÿ ?#ÿ43'302/-3ÿ90,2ÿ2/73-ÿ.1'1ÿ,0ÿ')3ÿ8)1+3ÿ,9ÿ1ÿ8+33.1'/23ÿ201+)ÿ:)3-ÿ1-ÿ,;<3('ÿ/8ÿ2,7/-2ÿ:/')ÿ (,-8'1-'ÿ1((37301'/,-*ÿ()1-2/-2ÿ1((37301'/,-ÿ @#ÿ617(671'3ÿ1((37301'/,-ÿ90,2ÿ')3ÿ201./3-'ÿ,9ÿ1ÿ8+33.1'/23ÿ201+)ÿ ÿ ABCDEABÿÿ FÿHIJKLMÿNOOÿPQLJRSTIJUÿÿ FÿVJLÿNÿWONXYÿTMÿZNMYÿWOQLÿ[LIUÿ\TQÿ]N^ÿQJLÿNIÿ_`ÿ[LIXSOÿa,0ÿ1-8ÿ./120128ÿ,0ÿ201+)8#ÿÿ FÿbMSRLÿ^TQMÿIN]LcÿXLIRMLÿIQ]WLMÿNIZÿXNIZSZNRLÿIQ]WLMÿSIÿRdLÿWTeLJÿNRÿRdLÿRT[ÿTaÿRdLÿ[NfLUÿÿ FÿbMSRLÿ^TQMÿNIJKLMÿRTÿLNXdÿPQLJRSTIÿSIÿRdLÿJ[NXLÿ[MTgSZLZUÿ FÿhTÿITRÿQJLÿNIÿLMNJNWOLÿ[LIÿTMÿXTMMLXRSTIÿaOQSZUÿÿ FÿhTÿITRÿKMSRLÿTIÿNI^ÿWNMÿXT.38#ÿÿ Fÿ\TQÿ]N^ÿQJLÿNÿXNOXQONRTMUÿÿ Fÿ\TQÿJdTQOZÿJdTKÿNOOÿ^TQMÿKTMYSIfÿNIZÿQJLÿN[[MT[MSNRLÿQISRJÿ ÿ 01234ÿÿ ÿ671884ÿÿ ÿ 9ÿÿÿ 270 m 0 m (no movement) 270 m If BC=3 minutes and DO=270 m Speed of the tractor over time interval BC= 270 m/ 3 x 60 secconds 270 m/ 180 s = 1.5 m/ seccond ÿ ÿ 1.5 m/ seccond ÿ ÿ 01234ÿÿ ÿ671884ÿÿ ÿ ÿ ÿ 9ÿÿ 3 m/s Acceleration= vf-vi/t 3 m - 0 m/ 20 secconds Acceleration= 3m/20 secconds= 0.15 m/ s2 0.15 m/s2 AB= 16 s Speed= 3m/s Total distance travelled= 16x3= 48m 48 m ÿ ÿ BC= 14s Speed= 3m/s Total distance travelled= 14x3= 42m 42 m ÿ ÿ ÿ ÿ 01234ÿÿ ÿ671884ÿÿ ÿ ÿ ÿ 9ÿÿ ÿ ÿ ÿ ÿ increasing constant constant zero increasing constant Time interval OA ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ ÿ 01234ÿÿ ÿ671884ÿÿ ÿ ÿ ÿ 9ÿÿ Acceleration: vf-vi/t OD=30m/s OA=200s 30m - 0m/ 200s= 0.15m/ s2 0.15m/s2 Deceleration= vf-vi/t OD= 30m/s BC= 300s 0m - 30m/ 300= -0.10m/ s -0.10m/ s2 Avarage speed= 30 x 300= 9000 deceleration= -0.10m/s2 30/0.10= 300 1+2+3+4+...+300(-0.1)= -4515 9000-4515= 4485 4485/300= 14.95m/s 14.95m/s 30m x 300s/ 2= 4500 14.95 x 300= 4485m (estimated to 4500 m) 4500 m Time interval AB ÿ ÿ ÿ