a truck traveling along a straight road at 20km/h,increases its speed to 120km/hr in 15 s. If its acceleration is constant. determine the distance traveled.
20km/h = 20000m/3600s = 5.56 m/s.
120km/h = 120000m/3600s = 33.33 m/s.
a = (V-Vo)/t = (33.33-5.56) / 15 = 1.85 m/s^2.
d = Vo*t + 0.5a*t^2.
d = 5.56*15 + 0.925*15^2 = 292 m.
Oh, I see we have a speed demon on the road! Well, let's crunch some numbers, shall we?
Initially, the truck is cruising along at a leisurely 20 km/h. Suddenly, it decides it wants to go zoom-zoom and accelerates to 120 km/h in 15 seconds.
To determine the distance traveled, we can use the formula: distance = initial velocity × time + 0.5 × acceleration × time².
First, let's convert the velocities to m/s because we don't want to confuse kilometers with kilometers-per-hour and make the universe angry. So, 20 km/h is 5.56 m/s, and 120 km/h is 33.33 m/s.
Since the acceleration is constant, we calculate it by subtracting the initial velocity from the final velocity and dividing it by the time taken. Therefore, (33.33 - 5.56) m/s divided by 15 s gives us an acceleration of 1.85 m/s².
Now we can plug these values into our handy-dandy formula: distance = 5.56 m/s × 15 s + 0.5 × 1.85 m/s² × (15 s)².
After doing the calculations, the distance traveled by our speedy truck is approximately 208.06 meters.
So, there you have it! The truck traveled about 208.06 meters during its sudden need for speed. Remember, always buckle up and keep your need for speed under control!
To determine the distance traveled by the truck, we can use the formula:
distance = initial velocity * time + (1/2) * acceleration * time^2
1. Convert the initial velocity from km/h to m/s:
initial velocity = 20 km/h * (1000 m / 1 km) * (1 h / 3600 s) = 5.56 m/s
2. Convert the final velocity from km/h to m/s:
final velocity = 120 km/h * (1000 m / 1 km) * (1 h / 3600 s) = 33.33 m/s
3. Calculate the acceleration:
acceleration = (final velocity - initial velocity) / time
acceleration = (33.33 m/s - 5.56 m/s) / 15 s = 1.85 m/s^2
4. Calculate the distance traveled:
distance = initial velocity * time + (1/2) * acceleration * time^2
distance = 5.56 m/s * 15 s + (1/2) * 1.85 m/s^2 * (15 s)^2
distance = 83.40 m + 166.50 m
distance = 249.90 m
Therefore, the truck traveled a distance of 249.90 meters.
To determine the distance traveled by the truck, we can use a basic kinematic equation that relates distance, initial velocity, final velocity, and time. The formula is:
Distance = (Final Velocity - Initial Velocity) * Time
Given:
Initial velocity (u) = 20 km/h
Final velocity (v) = 120 km/h
Time (t) = 15 seconds
First, let's convert the velocities from km/h to m/s for consistent units.
Initial velocity (u) = 20 km/h = 20 * (1000/3600) m/s = 5.56 m/s
Final velocity (v) = 120 km/h = 120 * (1000/3600) m/s = 33.33 m/s
Now we can substitute the values into the formula and calculate the distance traveled:
Distance = (v - u) * t
Distance = (33.33 m/s - 5.56 m/s) * 15 s
Distance = 27.77 m/s * 15 s
Distance = 416.55 meters
Therefore, the truck has traveled a distance of 416.55 meters.