Question

1. if a horse gallops at a speed of 25 km/hr for 30 minutes, how far will it go? 4. if the horse in question 3 decided to run in a complete circle for those 30 minutes and ended where it started, what is its velocity? acceleration 1. what is the acceleration of a car in m/s² that increases its velocity from 0 m/s to 30 m/s in the span of 10 seconds? 2. what is the acceleration of a car driving straight along the highway at 30 m/s for 10 seconds? 3. a car decreases its velocity (using the brakes) at a rate of -1.2 m/s² for a time of 5 seconds. if the car ends up traveling at 5 m/s, how fast was it initially going? 4. what are the three controls in a car that can accelerate it? (the brakes and the emergency brake are essentially the same thing)

Explanation:

3.

Step1: Convert time to hours

30 minutes = 0.5 hours

Step2: Use distance - speed formula

The formula for distance $d=v\times t$, where $v = 25$ km/hr and $t = 0.5$ hr. So $d=25\times0.5 = 12.5$ km

Velocity is a vector quantity which has both magnitude and direction. Since the horse ends where it started, its displacement is 0. Velocity $v=\frac{\text{displacement}}{\text{time}}$. With displacement = 0, the velocity is 0.

Step1: Use acceleration formula

The acceleration formula is $a=\frac{v - u}{t}$, where $u = 0$ m/s, $v = 30$ m/s and $t = 10$ s.
$a=\frac{30 - 0}{10}=3$ m/s²

Answer:

12.5 km

4.