at a drag race a jet car travels 1/4 miles in 5.2 seconds. what is the final speed of the car and its acceleration?
average speed = .25 mi / 5.2 s
so top speed = 2 * average speed if a is constant
so
Vf = .5 mi /5.2 s
if you want that in mi/h multiply by 3600 s/h
so
Vf = 346 miles/hour
Vf = a t
.5/5.2 = a (5.2)
a = .01849 miles/s^2
makes more sense if in feet/s^2
multiply by 5280 feet/mile
a = 97.6 feet/second^2
an arrow is shot into the air with an initial velocity of 100m is at an elevation of 60 degree find. a the time of flight b the maximum height attained. c the range
To find the final speed of the car, we can use the formula for speed:
Speed = Distance / Time
Given that the distance is 1/4 mile (or 0.25 miles) and the time is 5.2 seconds, we can substitute these values into the formula:
Speed = 0.25 miles / 5.2 seconds
Now, we can calculate the speed:
Speed ≈ 0.048076923 miles/second
To find the acceleration, we need to use a different formula:
Acceleration = (Final Speed - Initial Speed) / Time
However, the initial speed is not given in the question. So, we cannot calculate the acceleration with the given information alone.
To find the final speed of the car, we need to know the distance traveled and the time taken. In this case, the distance traveled is given as 1/4 mile, and the time taken is given as 5.2 seconds.
First, let's convert 1/4 mile to a more convenient unit, such as meters. We know that 1 mile is equal to 1609.34 meters, so 1/4 mile is equal to (1/4) * 1609.34 = 402.335 meters.
Now, we can use the formula for speed: speed = distance/time. Plugging in the values, we get speed = 402.335 meters / 5.2 seconds = 77.37 meters/second (rounded to two decimal places).
To calculate acceleration, we can use the formula: acceleration = (final velocity - initial velocity)/time. In this case, we can assume that the initial velocity is zero, as the car starts from rest. So the equation becomes: acceleration = final velocity / time.
Plugging in the values, we get acceleration = 77.37 meters/second / 5.2 seconds = 14.89 meters/second^2 (rounded to two decimal places).
Therefore, the final speed of the car is approximately 77.37 meters/second, and the acceleration is approximately 14.89 meters/second^2.