A car travels from rest with a constant acceleration a for t seconds. What is the average speedof the car for its journey, if the car moves along a straight road?
Question
A car travels from rest with a constant acceleration a for t seconds. What is the average speedof the car for its journey, if the car moves along a straight road?
Solution
The average speed of the car can be calculated using the formula for average speed, which is total distance divided by total time.
Step 1: Calculate the total distance The total distance the car travels can be calculated using the formula for distance in uniformly accelerated motion, which is d = 0.5at^2. Here, 'a' is the acceleration and 't' is the time. The car starts from rest, so the initial velocity is zero.
Step 2: Calculate the average speed The average speed is then calculated by dividing the total distance by the total time. So, Average speed = d/t = 0.5at^2 / t = 0.5at.
So, the average speed of the car for its journey is 0.5at.
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