Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

First, you wil investigate purely vertical motion. The kinematics Equation for v

ID: 1532428 • Letter: F

Question

First, you wil investigate purely vertical motion. The kinematics Equation for vertical motion (ignoring air resistance) is given by y(t) = y_0 + nu_0t - (1/2)gt^2. where y_0 = 0 is the initial position (which is 1.2 m above the ground due to the wheels of the cannon), nu_0 is the initial speed, and g is the acceleration due to gravity Shoot the baseball straight upward (at an angle of 90 degree) with an initial speed of 20 m/s. How long does it take for the baseball to hit the ground? Express your answer with the appropriate units.

Explanation / Answer

Here,

iniital velocity , vo = 20 m/s

y0 = 1.2 m

y = 0

putting the values in the equation

0 = 1.2 + 20 * t - 0.5 * 10 * t^2

solving for t

t = 4.06 s , - 0.06 s

negative time is not possible

hence , the time taken to reach ground is 4.06 s