Acceleration versus time graphs for four objects are shown below. All axes have the same scale. Which object had the greatest change in velocity during the interval?

Question

Acceleration versus time graphs for four objects are shown below. All axes have the same scale. Which object had the greatest change in velocity during the interval? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

In option (b) area of graph is (1/2) t0a0. But in options (a) and (c) area is less than (1/2)t0a0. In option (d), area is more than (1/2) t0a0. So in option (d) change in velocity is greatest.

Q. Acceleration versus time graphs for four objects are shown below. All axes have the same scale. Which object had the greatest change in velocity during the interval?

In option (b) area of graph is $\frac{1}{2} t_{0} a_{0}$ . But in options (a) and (c) area is less than $\frac{1}{2} t_{0} a_{0}$ . In option (d), area is more than $\frac{1}{2} t_{0} a_{0}$ . So in option (d) change in velocity is greatest.

Q. Acceleration versus time graphs for four objects are shown below. All axes have the same scale. Which object had the greatest change in velocity during the interval?

In option (b) area of graph is 21​t0​a0​. But in options (a) and (c) area is less than 21​t0​a0​. In option (d), area is more than 21​t0​a0​. So in option (d) change in velocity is greatest.

In option (b) area of graph is $\frac{1}{2} t_{0} a_{0}$ . But in options (a) and (c) area is less than $\frac{1}{2} t_{0} a_{0}$ . In option (d), area is more than $\frac{1}{2} t_{0} a_{0}$ . So in option (d) change in velocity is greatest.