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Can anyone help me with this physics prob, can you show me the explation as well as the math steps to solve this one.
Thank you
A student performs an experiment to determine how the range of a ball depends on the velocity with which it is released. The range is the distance between where the ball lands and where it was released, assuming it lands at the same height from which it was released.
In each trial, the student uses the same baseball, and launches it at the same angle. Table 1 shows the experimental results.
TABLE 1
Trial launch speed (m/s) range (m)
1 10 8.0
2 20 31.8
3 30 70.7
4 40 122.5
Based on this data, the student then hypothesizes that the range, R, depends on the initial speed, v0, according to the following equation:
R = C
,
where C is a constant, and n is another constant.
1.Based on this data, the best guess for the value of n is
A.1/2
B.1
C.2
D.3
it says the answer is "C" but why and how.
Thanks again
Thank you
A student performs an experiment to determine how the range of a ball depends on the velocity with which it is released. The range is the distance between where the ball lands and where it was released, assuming it lands at the same height from which it was released.
In each trial, the student uses the same baseball, and launches it at the same angle. Table 1 shows the experimental results.
TABLE 1
Trial launch speed (m/s) range (m)
1 10 8.0
2 20 31.8
3 30 70.7
4 40 122.5
Based on this data, the student then hypothesizes that the range, R, depends on the initial speed, v0, according to the following equation:
R = C
where C is a constant, and n is another constant.
1.Based on this data, the best guess for the value of n is
A.1/2
B.1
C.2
D.3
it says the answer is "C" but why and how.
Thanks again