Question

A Thomson's gazelle can run at very high speeds, but its acceleration is relatively modest. A reasonable model for the sprint of a gazelle assumes an acceleration of 4.2m/s2 for 6.5s , after which the gazelle CONTINUES at a steady speed. What is the gazelles top speed?

a. 27 m/s
b. 3.8 s
c. 10.6 s
d. 19.5 m/s

Answer 1

The answer of the given statement that "A Thomson's gazelle can run at very high speeds, but its acceleration is relatively modest. A reasonable model for the sprint of a gazelle assumes an acceleration of 4.2m/s2 for 6.5s , after which the gazelle CONTINUES at a steady speed. What is the gazelles top speed" is a. 27 m/s

Step-by-step explanation:

The acceleration (a) and time (t) information provided allows us to find the change in velocity during the acceleration phase using the formula:

`\[ \text{Change in velocity} = a * t \]`

`\[ \text{Change in velocity} = (4.2 \, \text{m/s}^2) * (6.5 \, \text{s}) \]`

`\[ \text{Change in velocity} = 27.3 \, \text{m/s} \]`

Now, the gazelle continues at a steady speed, so there is no further acceleration. The top speed is equal to the speed attained during the acceleration phase.

Therefore, the gazelle's top speed is a.27 m/s.