A car traveling at 60km/h. It then accelerates at 3.6m/s^2.How long does it take to reach a new speed. How far does it travel during acceleration.
to get from 60km/h to a new speed v, it increases speed by 3.6m/s every second.
So, it takes (v-60)/3.6 seconds to accelerate
s = 1/2 a t^2 = 1/2 * 3.6 * [(v-60)/3.6]^2
oops - convert 60km/hr to m/s for initial velocity.
A car travel at 60 km/h. It the accelerates at 3.6m/s^2 to 90km/h.how long does it take to reach a new speed. How far does it travel during acceleration...the first answer I got is 2.2s and the other question I got 47m..i was checking to see if I was correct
To determine the time it takes for the car to reach a new speed and the distance it travels during acceleration, we can use a few basic physics equations.
1. To calculate the time taken to reach the new speed, we can use the equation:
v = u + at
where:
v = final velocity (new speed)
u = initial velocity
a = acceleration
t = time
In this case,
u = 60 km/h = 60,000 m/3600 s = 16.67 m/s (converted from km/h to m/s)
a = 3.6 m/s^2
Considering we want to find out the new speed, let's denote it as v2.
Rearranging the equation to isolate t:
t = (v2 - u) / a
2. To calculate the distance traveled during acceleration, we can use the equation:
s = ut + 0.5at^2
where:
s = distance
u = initial velocity
a = acceleration
t = time
In this case, using the same values u and a as mentioned earlier, and substituting the value of t from the previous equation, we can calculate the distance traveled.
Let's solve for each step:
Step 1: Calculate the new speed (v2):
v2 = u + at
v2 = 16.67 m/s + (3.6 m/s^2) * t
Step 2: Substitute the value of t into the equation to find the distance traveled during acceleration:
s = 16.67 m/s * t + 0.5 * (3.6 m/s^2) * t^2
Now, using these equations and calculated values, we can find the time taken to reach the new speed and the distance traveled during acceleration.