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For the following, enter your answers to at least three significant figures. A b

ID: 1594209 • Letter: F

Question

For the following, enter your answers to at least three significant figures. A bullet is fired from a rifle that is held 4.1 m above the ground in a horizontal position. The initial speed of the bullet is 1150 m/s. There is no error in the velocity value. Find the time (in s) it takes for the bullet to strike the ground. Find the horizontal distance (in m) traveled by the bullet, x = m (c) If the error in time measurements is At, what will be the equation to calculate error in the horizontal distance (Ax)? (Assume x is in meters and t is in seconds. Do not enter units in your expression. Substitute numeric values; the only variable you should enter is At.)

Explanation / Answer

a) x = v_x t
y = v_y t + 0.5g t^2
y = 0 + 0.5gt^2
t = sqrt (2y/g)

t = sqrt(2*4.1/9.8) = 0.915 sec

b) x = v_x sqrt (2y/g)
x = 1150 * 0.915
x = 1052.25 m

c) x = v_x * t

delta_x = delta_v_x + delta_t

  delta_x = delta_t