Mike, a basketball player, has a vertical reach of 2.6 m when standing with his feet flat on the ground. He jumps to block a shot by a player on the opposing team. The basketball is flying 3.8 m above the ground. Starting from rest, Mike kicks off the ground by accelerating vertically upwards at +9.0 m/s2 for 0.6 sec.:
a) What is Mike’s vertical velocity at takeoff?
b) What is his final velocity at the top of the jump? What is his acceleration once he leaves the ground?
c) What is the maximum height he will reach? Will he jump high enough to block the shot?
can someone walk me through this math?
a) What is Mike’s vertical velocity at takeoff?
b) What is his final velocity at the top of the jump? What is his acceleration once he leaves the ground?
c) What is the maximum height he will reach? Will he jump high enough to block the shot?
can someone walk me through this math?
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as g=9.8m/s^2
(a) v=at = 9*0.6= 5.4m/s
(b) Because it is the highest point, the rising speed is 0.0m/s.
(c) h=h0+v^2/2g = 2.6+5.4^2/(2*9.8)= 4.0877 = 4.09[m] approx.
ball's(3.8m) < his(4.09m) ( He can block )
(a) v=at = 9*0.6= 5.4m/s
(b) Because it is the highest point, the rising speed is 0.0m/s.
(c) h=h0+v^2/2g = 2.6+5.4^2/(2*9.8)= 4.0877 = 4.09[m] approx.
ball's(3.8m) < his(4.09m) ( He can block )