In 2004 baseball player Adam Dunn hit the longest home run ever hit in Great Ame

Question

In 2004 baseball player Adam Dunn hit the longest home run ever hit in Great American Ballpark in Cincinnati. He hit a homer which went 535 ft (163.1 m). In the following parts ignore any effects due to air resistance and assume the baseball lands at the same height it was hit. Part A If he hit the ball at an angle of 52 degrees, what was the initial velocity of the baseball? Express your answer using three significant figures. 16 Az¢ 6 + E ? Initial velocity = m/s Submit Request Answer Part B How long was the ball in the air? Express your answer using three significant figures. 16 Azp 6 - 0 2 ? Time in air = Time in air = Submit Request Answer Part C What was the maximum height achieved by the baseball? Express your answer using three significant figures. 16 Arp 6 + E ? Max Height = Submit Request Answer

Explanation / Answer

Range = 163.1 m

Now in projectile motion

R = Vx*T = V0*cos A*2*V0*sin A/g

R = V0^2*sin 2A/g

V0 = sqrt (R*g/sin 2A)

given that A = 52 deg

V0 = sqrt (163.1*9.81/sin 104 deg)

V0 = 40.6 m/sec

B.

T = 2*V0*sin A/g

T = (2*40.6*sin 52 deg)/9.81 = 6.52 sec

C.

Hmax = V0^2*(sin A)^2/g

Hmax = 40.6^2*(sin 52 deg)^2/9.81 = 104 m

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