Question

QUESTION 2 DOK 3 A Thompson's gazelle has a maximum acceleration of 4.5 m/s2 At this acceleration, how much time is required for it to reach a speed of 40 km/h?​

Answer 1

2.47 s

Step-by-step explanation:

Convert the final velocity to m/s.

• 40 km/h → 11.1111 m/s

We have the acceleration of the gazelle, 4.5 m/s².

We can assume the gazelle starts at an initial velocity of 0 m/s in order to determine how much time it requires to reach a final velocity of 11.1111 m/s.

We want to find the time t.

Find the constant acceleration equation that contains all four of these variables.

• v = v₀ + at

Substitute the known values into the equation.

• 11.1111 = 0 + (4.5)t
• 11.1111 = 4.5t
• t = 2.469133333

The Thompson's gazelle requires a time of 2.47 s to reach a speed of 40 km/h (11.1111 m/s).