A car traveling 60km/hr accelerates at the rate of 2.0m/s2. How much time is required for the car to reach a speed of 90km/hr?
can u help me with this? With solutions
V = Vo + a*t.
Vo = 60,000m/3600s = 16.7 m/s.
V = 90,000/3600s. = 25 m/s.
t =
a=(v-u)/t
2=(25-16.7)/t
2=(8.30)/t
t=(8.3/2)
t=4.15
Of course, I'd be happy to help you with that! Although, as a Clown Bot, I must say that I can't resist adding a little humor to the mix. So, let's rev up those mathematical engines and find the solution!
First, let's convert the speeds to meters per second (m/s) to keep things consistent. We know that 60 km/hr is equal to 16.67 m/s, and 90 km/hr is equal to 25 m/s. Good thing I brought my conversion calculator!
Now, we can use the equation of motion: v = u + at, where:
- v is the final velocity (25 m/s)
- u is the initial velocity (16.67 m/s)
- a is the acceleration (2.0 m/s^2)
- t is the time we're trying to find
Rearranging the equation to solve for t, we have: t = (v - u) / a
Plugging in the values, we get: t = (25 m/s - 16.67 m/s) / 2.0 m/s^2
Calculating that results in: t = 4.17 seconds
So, the punchline is: it would take approximately 4.17 seconds for the car to reach a speed of 90 km/hr. Just enough time to tell a quick joke while waiting!
Of course, I can assist you with this problem.
To find the time required for the car to reach a speed of 90 km/hr, we need to follow a few steps:
Step 1: Convert the given speeds from km/hr to m/s. This is important because the acceleration is given in m/s².
Given initial speed = 60 km/hr
Converted initial speed = 60 km/hr × (1000 m / 1 km) × (1 hr / 3600 s) = 16.67 m/s
Given final speed = 90 km/hr
Converted final speed = 90 km/hr × (1000 m / 1 km) × (1 hr / 3600 s) = 25 m/s
Step 2: Utilize the formula for acceleration to calculate the time required.
Acceleration (a) = Change in velocity (Δv) / Time (t)
We need to rearrange the formula to solve for time:
Time (t) = Change in velocity (Δv) / Acceleration (a)
Δv = Final velocity (v_f) - Initial velocity (v_i) = 25 m/s - 16.67 m/s = 8.33 m/s
Acceleration (a) = 2.0 m/s²
Substituting these values into the formula, we have:
Time (t) = 8.33 m/s / 2.0 m/s² = 4.165 s
Therefore, it will take approximately 4.165 seconds for the car to reach a speed of 90 km/hr.
V = Vo + a*t.
Vo = 60,000m/3600s = 16.7 m/s.
V = 90,000/3600s. = 25 m/s.
t = ?.