Question

Cheetahs can reach a top speed of 32 m/s and can accelerate at a constant 9 m/s^2. how long will it take a cheetah stalking its prey to reach its top speed if it starts at 6m/s?

Answer 1

To find out how long it will take for the cheetah to reach its top speed, we can use the following kinematic equation:

v = u + at

Where: v = final velocity (top speed) = 32 m/s u = initial velocity = 6 m/s a = acceleration = 9 m/s^2 t = time taken to reach top speed (unknown)

We need to rearrange the equation to solve for time (t):

t = (v - u) / a

Now, plug in the values:

t = (32 m/s - 6 m/s) / 9 m/s^2 t = 26 m/s / 9 m/s^2 t ≈ 2.89 seconds

So, it will take the cheetah approximately 2.89 seconds to reach its top speed of 32 m/s while stalking its prey, starting from an initial speed of 6 m/s.