A baseball player hits a home run, and the baseball just clear a wall 23 m locat
ID: 1772610 • Letter: A
Question
A baseball player hits a home run, and the baseball just clear a wall 23 m located 124 m from the home plate. The ball is hit at an angle of 32 degrees to the horizontal, and air resistance is negligible. Assume the ball is hit at a height of 1.0 m above the ground. What is the initial speed of the ball? (use g = 10 m/s2).
A. 5.27 m/s B. 138 m/s C. 43.9 m/s D. 65.8 m/s E. -1.93E+03 m/s Tries 0/1
How much time does it take for the ball to reach the wall?
A. 3.33 s B. 6.66 s C. 3.66 s D. 11.1 s E. -3.33 s Tries 0/1
Find the components of the velocity and the speed of the ball as it reaches the wall.
A. 37.2, -10.1, 38.6 [m/s] B. -37.2, 10.1, -77.1 [m/s] C. 112, -40.2, 174 [m/s] D. 40.9, -11.1, 81.0 [m/s] E. 201, -59.3, 204 [m/s] Tries 0/1
What is the maximum height the ball reaches?
A. 13.5 [m] B. 27.1 [m] C. -27.1 [m] D. 122 [m] E. 0 [m] Tries 0/1
A baseball player hits a home run, and the baseball just clear a wall 23 m located 124 m from the home plate. The ball is hit at an angle of 32 degrees to the horizontal, and air resistance is negligible. Assume the ball is hit at a height of 1.0 m above the ground. What is the initial speed of the ball? (use g = 10 m/s2).
A. 5.27 m/s B. 138 m/s C. 43.9 m/s D. 65.8 m/s E. -1.93E+03 m/s Tries 0/1
How much time does it take for the ball to reach the wall?
A. 3.33 s B. 6.66 s C. 3.66 s D. 11.1 s E. -3.33 s Tries 0/1
Find the components of the velocity and the speed of the ball as it reaches the wall.
A. 37.2, -10.1, 38.6 [m/s] B. -37.2, 10.1, -77.1 [m/s] C. 112, -40.2, 174 [m/s] D. 40.9, -11.1, 81.0 [m/s] E. 201, -59.3, 204 [m/s] Tries 0/1
What is the maximum height the ball reaches?
A. 13.5 [m] B. 27.1 [m] C. -27.1 [m] D. 122 [m] E. 0 [m] Tries 0/1
A baseball player hits a home run, and the baseball just clear a wall 23 m located 124 m from the home plate. The ball is hit at an angle of 32 degrees to the horizontal, and air resistance is negligible. Assume the ball is hit at a height of 1.0 m above the ground. What is the initial speed of the ball? (use g = 10 m/s2).
A. 5.27 m/s B. 138 m/s C. 43.9 m/s D. 65.8 m/s E. -1.93E+03 m/s Tries 0/1
How much time does it take for the ball to reach the wall?
A. 3.33 s B. 6.66 s C. 3.66 s D. 11.1 s E. -3.33 s Tries 0/1
Find the components of the velocity and the speed of the ball as it reaches the wall.
A. 37.2, -10.1, 38.6 [m/s] B. -37.2, 10.1, -77.1 [m/s] C. 112, -40.2, 174 [m/s] D. 40.9, -11.1, 81.0 [m/s] E. 201, -59.3, 204 [m/s] Tries 0/1
What is the maximum height the ball reaches?
A. 13.5 [m] B. 27.1 [m] C. -27.1 [m] D. 122 [m] E. 0 [m] Tries 0/1
Explanation / Answer
1] let it be v, then time taken t= 124/[v cos32 degree]
writing second equation of motion in vertical,
h = v sin 32 degree t -0.5 g t^2
23-1 = v sin 32 degree*124/[v cos 32 degree] - 5 t^2
22 = 77.48 - 5t^2
t = sqrt ((77.48-22)/5). = 3.33s
v = 124/( 3.33*cos 32 degree) = 43.9 m/s
option c is correct.
2] time =3.33 s. found above. option a is correct
3] Vx = 43.9 cos 32 degree = 37.23 m/s
Vy = 43.9 sin 32 degree - 3.33*10 = -10.1 m/s
speed = sqrt(37.23^2+10.1^2) = 38.6 m/s
option a is correct
4] maximum height = [u sin. 32 degree]^2/2g = [43.9 sin 32 degree ]^2/[2*10]
= 27.1 m
option b is correct
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