Calculate the initial velocity of the projectile

Reference no: EM13981854

A student performs the projectile motion experiment and records the following values for the photogate velocity and measured range of the projectile at an elevation angle of θ = 30^o, with an initial elevation of Y_o = 0.087 m using a pair of photogate spaced D_p = 0.10 m apart:

Angle of Elevation: θ = 30^o		Photogate Separation: D_p = 0.10 m		Initial Elevation Y_o = 0.081 m
Run Number	v_p (m/s)	v_o (m/s)	T_ToF (s)	X_max-cal (m)	X_max-exp (m)
1	2.872				0.910
2	2.911				0.913
3	2.883				0.914
4	2.912				0.915
5	2.874				0.906

A) Calculate the initial velocity (v_o) of the projectile for each of the five runs.

B) Calculate the time of flight (T_ToF) of the projectile for each of the five runs.

C) Calculate the range of projectile (X_max-cal) for each run.

D) Find the average value and statistical uncertainty of X_max-cal.

E) Determine the average value and statistical uncertainty of the measured range (X_max-cal).

F) Compare X^-_max-cal ±δ X^-_max-cal with X^-_max-exp ±δ X^-_max-exp.

Reference no: EM13981854

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