Answer:
The acceleration of that sports car is [tex]5.26 ms^{-2}[/tex].
Explanation:
Acceleration is defined as the rate of change of velocity of an object.
We can measure acceleration using the change is speed per unit time.
Given is the initial speed, the final speed of the car and the time taken for the car to accelerate to that speed.
Finding acceleration:
Acceleration = Change is speed/Time taken
Acceleration = (Final speed - Initial speed)/ Time
Acceleration = (26.8 - 0)/ 5.1
[tex]Accelation = 5.255 ms^{-2}[/tex]
[tex]Accelation = 5.26 ms^{-2}[/tex]
The acceleration of the sports car is 5.25 m/s²
From the question,
A sport car accelerate from rest to 26.8 m/s.
Since, the car accelerates from rest, then the initial velocity, u, is 0 m/s.
From one of the equations of kinematics for linear motion
v = u + at
Where v is the final velocity
u is the initial velocity
a is the acceleration
and t is the time
From the question,
u = 0 m/s
v = 26.8 m/s
t = 5.1 secs
a = ?
Put the above parameters into the equation
v = u + at
Then,
26.8 = 0 + (a × 5.1)
26.8 = 5.1a
∴ a = 26.8 ÷ 5.1
a = 5.25 m/s²
Hence, the acceleration of the sports car is 5.25 m/s²
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