Question
2. Acyclist accelerates from 0m/s to 8m/s In 3 seconds. What is his acceleration? Is this acceleration higher than that of a car which accelerates from o to 27m/s in 8 seconds?
Answer
4.6
(187 Votes)
Quentin
Professional · Tutor for 6 years
Answer
### The cyclist's acceleration is
and the car's acceleration is
. The car's acceleration is higher.
Explanation
## Step 1: Calculate the acceleration of the cyclist### Use the formula for acceleration:
, where
is the change in velocity and
is the change in time. For the cyclist,
and
. Thus,
.## Step 2: Calculate the acceleration of the car### Similarly, for the car,
and
. Thus,
.## Step 3: Compare the accelerations### Compare the two accelerations:
and
. Simplify the fractions to compare:
and
. The car's acceleration is higher.