This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Haya Pretty, hapa kuna suluhisho la swali lako la mwendo wa mstari: Swali: Treni inasafiri kwa kasi ya wastani ya 72 km/h na inachukua 15 sekunde kuvuka daraja lenye urefu wa 80 m. (i) Eleza 72 km/h katika m/s. (ii) Pata urefu wa treni katika mita. Sehemu (i): Eleza 72 km/h katika m/s. Step 1: Badilisha kilomita kuwa mita na masaa kuwa sekunde. Tunajua kuwa 1 km = 1000 m na 1 saa = 3600 sekunde. 72 km/h = 72 × 1000 m3600 s Step 2: Rahisisha hesabu. 72 × (1000)/(3600) = 72 × (10)/(36) = 2 × 10 = 20 m/s Kasi ya treni katika m/s ni 20 m/s. Sehemu (ii): Pata urefu wa treni katika mita. Step 1: Pata umbali wote uliosafiriwa na treni. Wakati treni inavuka daraja kabisa, umbali wote uliosafiriwa ni jumla ya urefu wa daraja na urefu wa treni. Kasi (S) = 20 m/s (kutoka sehemu (i)) Muda (T) = 15 s Umbali (D) = Kasi × Muda D = 20 m/s × 15 s D = 300 m Step 2: Tumia umbali uliosafiriwa kupata urefu wa treni. Umbali wote uliosafiriwa (D) = Urefu wa daraja (L_B) + Urefu wa treni (L_T). Tunajua L_B = 80 m. 300 m = 80 m + L_T Step 3: Tatua kwa L_T. L_T = 300 m - 80 m L_T = 220 m Urefu wa treni ni 220 m. That's 2 down. 3 left today — send the next one.