Question

A bicycle moves with a constant velocity of 5 km/h for 10 minutes and then accelerates at the rate of 1 km/h². What is the total distance covered by the bicycle?

a. 0.75 km
b. 1.25 km
c. 1.5 km
d. 2.25 km

Answer 1

To find the total distance covered by the bicycle, we calculate the distance in each phase of motion.

Step-by-step explanation:

To find the total distance covered by the bicycle, we need to calculate the distance traveled during each phase of its motion.

First, it moves with a constant velocity of 5 km/h for 10 minutes. Since velocity is constant, we can use the formula:
Distance = Velocity x Time
Distance = 5 km/h x 10 min

Next, it accelerates at a rate of 1 km/h². To calculate the distance traveled during this acceleration phase, we can use the formula:
Distance = Initial Velocity x Time + 0.5 x Acceleration x Time²
Distance = 0 x 3 min + 0.5 x 1 km/h² x (3 min)²

Adding the distances from both phases, we can find the total distance covered by the bicycle.