Nathaniel is driving his sports car down a four lane highway at 40m/s. He comes up behind a slow moving dumptruck and decides to pass it in the left hand lane. If Nathaniel can accelerate at 5m/s^2, how long will it take for him to reach the speed of 60m/s?
Just use the definition of acceleration.
Time required
= (Speed change)/(acceleration)
= (20 m/s)/(5 m/s^2) = 4 s
To find out how long it will take for Nathaniel to reach a speed of 60m/s, we can use the equation of motion:
v = u + at
where:
v is the final velocity (60 m/s)
u is the initial velocity (40 m/s)
a is the acceleration (5 m/s^2)
t is the time we want to find
First, let's rearrange the equation to solve for time (t):
t = (v - u) / a
Now let's substitute the given values into the equation:
t = (60 m/s - 40 m/s) / 5 m/s^2
t = 20 m/s / 5 m/s^2
t = 4 s
Therefore, it will take Nathaniel 4 seconds to reach a speed of 60m/s.
To calculate the time it will take for Nathaniel to reach a speed of 60 m/s, we can use the formula:
Time = (Final Speed - Initial Speed) / Acceleration
Given:
Initial speed, u = 40 m/s
Final speed, v = 60 m/s
Acceleration, a = 5 m/s^2
Plugging the given values into the formula, we get:
Time = (60 m/s - 40 m/s) / 5 m/s^2
Simplifying the equation:
Time = 20 m/s / 5 m/s^2
Dividing the numerator and denominator:
Time = 4 seconds
Therefore, it will take Nathaniel 4 seconds to reach a speed of 60 m/s.