1.) A car is travelling with constant acceleration along a straight tract. You m

Question

1.) A car is travelling with constant acceleration along a straight tract. You measure the speed of the car to be 3.3 m/s and then you wait 2 s and measure the speed again, but this time the speed is 2.5 m/s. What is the acceleration of the car between your two measurements?

2) A car is travelling with constant acceleration along a straight tract. You measure the speed of the car to be 3.3 m/s and then you wait and measure the speed again 79 cm down the track, but this time the speed is 2.5 m/s. What is the acceleration of the car between your two measurements?

3) Could it be that questions 1 and 2 are describing the same two measurements of just one car? Explain.

Explanation / Answer

1)
vi = 3.3 m/s
t = 2 s
vf = 2.5 m/s
use:
vf = vi + a*t
2.5 = 3.3 + a*2
a*2 = -0.8
a = -0.4 m/s^2
Answer: -0.4 m/s^2

2)
vi = 3.3 m/s
d = 79 cm = 0.79 m
vf = 2.5 m/s
use:
vf^2 = vi^2 + 2*a*d
2.5^2 = 3.3^2 + 2*a*0.79
a = -2.94 m/s^2
Answer: -2.94 m/s^2

3)
Since acceleration is different in both cases,
they can’t be same two measurements of just one car

Answer: No

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