8. A car travels along a straight road with the equation s(t) = 3t+2, where s is the distance in kilometres and t is the time in hours. Calculate the car's distance at t=2 hours
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8. A car travels along a straight road with the equation s(t) = 3t+2, where s is the distance in kilometres and t is the time in hours. Calculate the car's distance at t=2 hours
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Answer:
Step-by-step explanation:
Given: Displacement of a car as a function of time we need to differentiate it to get velocity of a car.
s(t) = 3t+2
velocity(v) = d(s)/d(t)
= d(3t+2)/d(t) = 3 km/s --------------velocity of a car
speed = distance/time
distance =speed*time
= 3*2 = 6km----------------------distance travelled by a car
Given :
[tex]t = 2[/tex]
To Find :
[tex]s(t) = 3t + 2[/tex]
Solution Explanation :
[tex]s(t) = 3t + 2 \\ \\ s(2) = 3t + 2 \\ \\ = (3 \times 2) + 2 \\ \\ = 6 + 2 \\ \\ = 8[/tex]