Question

The graph above depicts a soccer ball's velocity as a function of time as players kick it and pass it to each other.
In what time period is the acceleration greatest in magnitude?

• A. $0s-2s$
• B. $2s-4s$
• C. $4s-6s$
• D. $6s-8s$
• E. $8s-10s$

Answer 1

The correct option is D $6s-8s$

The instantaneous acceleration of ball at a time is given by $a=\frac{dv}{dt}$

which is the slope of the v-t curve.

Hence the acceleration is greatest in magnitude for the part for which the slope is greatest in magnitude, which is, 6s-8s.