A car traveling 59 km/h accelerates at the rate of 8 m/s2. How many seconds are required for the car to reach a speed of 90 km/h? ENTER NUMBERS ONLY (ONE DECIMAL PLACE). NO UNITS
First convert 59 km/h and 90 km/s to m/s.
59 km/h = 16.39 m/s
90 km/h = 25.00 m/s
Change in V = 8.61 m/s
8 m/s^2*T = 8.61 m/s
Solve for T, the time spent accelerating
To find the time required for the car to reach a speed of 90 km/h, we need to convert the given values into consistent units.
First, let's convert the initial speed from km/h to m/s:
Initial speed = 59 km/h = 59 * (1000 m / 3600 s) = 16.39 m/s (rounded to two decimal places)
Next, let's convert the final speed from km/h to m/s:
Final speed = 90 km/h = 90 * (1000 m / 3600 s) = 25 m/s
Now we can use the equation of motion to find the time required:
Final velocity = Initial velocity + (acceleration * time)
25 m/s = 16.39 m/s + (8 m/s^2 * time)
Subtracting 16.39 m/s from both sides of the equation, we get:
25 m/s - 16.39 m/s = 8 m/s^2 * time
8.61 m/s = 8 m/s^2 * time
Dividing both sides of the equation by 8 m/s^2, we get:
time = 8.61 m/s / 8 m/s^2
time = 1.07625 seconds (rounded to one decimal place)
Therefore, it takes approximately 1.1 seconds for the car to reach a speed of 90 km/h.