Miten seuraavanlaisiin tehtäviin löytäisi ratkaisut?
1) Two runners start simultaneously from the same point on a circular 200-m track and run in opposite directions. One runs at a constant speed of 6,20m/s, and other runs at a constant speed of 5,50m/s. When they first meet, (a) for how long a time will they have been running, and (b) how far will each one have run along the track?
2) Earthquakes produce several types of shock waves. The most well known are the P-waves and S-waves. In the earth's crust, the P-wave travel around 6,5km/s, while the S-waves move at about 3,5km/s. The actual speeds vary depending on the type of material they are going through. The time delay between the arrival of these two waves at a seismic recording station tells geologists how far away the earthquake occurred. If the time delay is 33s, how far from the seismic station did the earthquake occur?
1) Two runners start simultaneously from the same point on a circular 200-m track and run in opposite directions. One runs at a constant speed of 6,20m/s, and other runs at a constant speed of 5,50m/s. When they first meet, (a) for how long a time will they have been running, and (b) how far will each one have run along the track?
2) Earthquakes produce several types of shock waves. The most well known are the P-waves and S-waves. In the earth's crust, the P-wave travel around 6,5km/s, while the S-waves move at about 3,5km/s. The actual speeds vary depending on the type of material they are going through. The time delay between the arrival of these two waves at a seismic recording station tells geologists how far away the earthquake occurred. If the time delay is 33s, how far from the seismic station did the earthquake occur?
Vastaukset 1
Vanhimmat
Mittipä a-kohtaa vaikkapa siten, että kirjoitat toiselle juoksijalle paikan lausekkeen nopeuden ja ajan avulla, alkaen nollasta. Sitten kirjoitat vastaavan yhtälön toiselle niin, että suunta onkin toinen ja aloituspaikka eri.
Sitten asetat matkat samaksi ja ratkaiset ajan. (eli matemaattisesti haet suorien leikkauspisteet)