Final answer:
The speed of a cheetah after accelerating from rest over a period of 7 seconds is 30.0 m/s, with an acceleration rate of 4.29 m/s². The given options are incorrect; none matches these calculated values. Velocity includes direction, so it equals the cheetah's speed if it moves in a straight line.
Step-by-step explanation:
The question is asking about the speed and velocity of a cheetah during its chase. From the information provided, we know that a cheetah can accelerate from rest to a speed of 30.0 m/s in 7.00 seconds. This gives us the cheetah's acceleration as the final speed divided by the time taken, which is 30.0 m/s ÷ 7.00 s = 4.29 m/s².
However, the options given in the question seem incorrect as none of them match the calculated speed. The closest option is that a cheetah achieves a speed of 55 m/s, but according to our calculations, its speed should be 30.0 m/s after 7 seconds of acceleration. As for the velocity, we would need the direction of the cheetah's movement to differentiate velocity from speed, as velocity includes both magnitude and direction. Assuming the cheetah moves in a straight line without changing direction, its velocity would be the same as its speed in magnitude but would also include the specific direction.