A car accelerates for 5 seconds at 2.1 m/s^2. If the car initially had a speed of 10 m/s, what is the new speed?
20.5 m/s
To find the new speed of the car, we can use the equation for acceleration:
v = u + at
Where:
v = final velocity
u = initial velocity
a = acceleration
t = time
Given:
u = 10 m/s
a = 2.1 m/s^2
t = 5 s
Plugging in the values:
v = 10 + (2.1)(5)
v = 10 + 10.5
v = 20.5 m/s
Therefore, the new speed of the car is 20.5 m/s.
To find the new speed of the car, we first need to calculate the change in velocity (Δv) using the formula:
Δv = acceleration × time
Given that the acceleration (a) is 2.1 m/s^2 and the time (t) is 5 seconds, we can substitute these values into the formula:
Δv = 2.1 × 5 = 10.5 m/s
Next, we need to find the final velocity (v) by adding the change in velocity (Δv) to the initial velocity (u):
v = u + Δv
Given that the initial velocity (u) is 10 m/s, we can substitute the values:
v = 10 + 10.5 = 20.5 m/s
Therefore, the new speed of the car after accelerating for 5 seconds at 2.1 m/s^2 is 20.5 m/s.