Question

the head of a rattlesnake can accelerate to 50 m/s2 by attaking its victim. if a car can do same. how long would it take to reach a speed of 100Km/h from rest?

Answer 1

To calculate the time it takes for a car to reach 100 km/h from rest with an acceleration of 50 m/s^2, convert the speed to m/s, resulting in 27.78 m/s. Using the formula for acceleration, the time calculated is approximately 0.556 seconds.

Step-by-step explanation:

The question requires an application of the basic principles of kinematics to determine how long it takes for a car to reach a certain speed, if it can accelerate at the same rate as a rattlesnake's head, which is given to be 50 m/s2.

First, we need to convert the car's target speed from km/h to m/s. The speed of 100 km/h is equivalent to:

100 km/h = (100 * 1000 m) / (3600 s) = 27.78 m/s.

Using the formula v = u + at, where v is the final velocity, u is the initial velocity (which is 0 m/s since the car starts from rest), a is the acceleration, and t is the time, we can solve for t:

27.78 m/s = 0 m/s + (50 m/s2)t
t = 27.78 m/s / 50 m/s2 = 0.556 s.

Therefore, it would take the car approximately 0.556 seconds to reach a speed of 100 km/h from rest, assuming it can accelerate at 50 m/s2.