Suppose a golf ball leaves a teemoving at 40 m/s at an angle of 40 degrees on gr

Question

Suppose a golf ball leaves a teemoving at 40 m/s at an angle of 40 degrees on ground. Thevertical acceleration of the ball while on its way up is -9.8m/s2. Using the ball, the ball hit the ground at5.5 seconds. At what two times is the golf ball at height of24 m? The answer is 1.22 sec and4.03 sec. I just don't know how to get to that answer! Pleasehelp me out and show your work! I need it before my examtommorrow at 8 am! PLEASE HELP! Lifesaver!!!! Suppose a golf ball leaves a teemoving at 40 m/s at an angle of 40 degrees on ground. Thevertical acceleration of the ball while on its way up is -9.8m/s2. Using the ball, the ball hit the ground at5.5 seconds. At what two times is the golf ball at height of24 m? The answer is 1.22 sec and4.03 sec. I just don't know how to get to that answer! Pleasehelp me out and show your work! I need it before my examtommorrow at 8 am! PLEASE HELP! Lifesaver!!!! The answer is 1.22 sec and4.03 sec. I just don't know how to get to that answer! Pleasehelp me out and show your work! I need it before my examtommorrow at 8 am! PLEASE HELP! Lifesaver!!!!

Explanation / Answer

The velocity has 2 components: horizontal and vertical Vertical velocity = 40 m/s *Sin 40 = 25.7m/s In y direction we will use the most general equation ofmotion: yf=yo+Voy*t+1/2*a*t2 where yf =24, yo=0 (for simplicity) ,a=-9.8 Rewrite it again: 24 = 25.7t -4.9t2 Putting everything to on side: 4.9t2-25.7t+24 =0 This a 2nd order equation, so solve it use the formula:t1= (-b + (b2-4ac))/(2a)                                                          and                 t2=(-b - (b2-4ac))/(2a) where a=4.9, b= -25.7, c= 24 this gives you t=1.22 and t=4.03 I hope this helps. Putting everything to on side: 4.9t2-25.7t+24 =0 This a 2nd order equation, so solve it use the formula:t1= (-b + (b2-4ac))/(2a)                                                          and                 t2=(-b - (b2-4ac))/(2a) where a=4.9, b= -25.7, c= 24 this gives you t=1.22 and t=4.03 I hope this helps.

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