To plot the velocity-time graph, we need to first find the velocity of the dragster at different times during its motion.
Initial velocity (u) = 0 m/s (since the dragster starts from rest)
Acceleration (a) = 5.0 m/s^2 (given)
Time taken for acceleration (t1) = 4.0 s (given)
Time taken for constant speed (t2) = 2.5 s (given)
Using the equation of motion, v = u + at, we can find the velocity of the dragster at different times as follows:
At t = 0 s (starting point), v = 0 m/s
At t = 1 s, v = 5.0 m/s
At t = 2 s, v = 10.0 m/s
At t = 3 s, v = 15.0 m/s
At t = 4 s, v = 20.0 m/s (end of acceleration)
At t = 4.01 s, v = 20.0 m/s (start of constant speed)
At t = 6.5 s (end of motion), v = 20.0 m/s
Now, we can plot the velocity-time graph using the above values as follows:
lua
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25 | *
| *
20 | *
| *
15 | *
| *
10 |---------------------
0 1 2 3 4 4.01 6.5 (time in seconds)
The graph shows that the dragster starts from rest and accelerates at a constant rate of 5.0 m/s^2 for 4.0 seconds, reaching a velocity of 20.0 m/s. It then maintains a constant velocity of 20.0 m/s for 2.5 seconds before coming to a stop at the end of its motion.