Question

and ange 6. Chris and Linda are standing 78 feet apart. At the same time, they each throw a softball toward each other. her ball with an initial velocity of 45 ft per second with an angle of inelination of 44. Chris throws her ball with an initial velocity of 41 feet per second with an angle of inclination of 39 a. Find two sets of parametric equations that represent a model of the problem situation. b. Draw c. What values of t make sense in this problem situation? d. Find the maximum height of each ball. How far does each ball travel in the horizontal direction? plete graphs of both sets of parametric equations in the same viewing rectangle. com When does each ball hit the ground? Whose ball hits first? Will the balls meet?

using parametric equations

Answer 1

40 Parametric equations: x(t)-(v, cose)r y(t) sin9)t-16r20 vo 41 ft/s vo45 ft/s 10 440 390 Chris Linda -70 60 50 40 30 -20 -10 10 20 3040 50 60 70 80 90 -10 Linda: v 45 ft/s, 44 x(t)- (45cos 440) 32.37r Chris: vo 41fts, 39 x(,)-(41cos(-39),-31.86, ()(4sin-39625.80-1r y(,)-(45sin 44°),-16r'-31.2&-16r' '20, 6. Chris and Linda are standing 78 feet apart. At the same time, they each throw a softball toward each other Linda throws her ball with an initial velocity of 45 ft per second with an angle of inclination of 44 . Chris throws her ball with an initial velocity of 41 feet per second with an angle of inclination o a. Find two sets of parametric equations that represent a model of the problem situation b. Draw complete graphs of bot c. What values oft make sense in this problem situation? d. Find the maximum height of each ball. How far does each ball travel in the horizontal direction? h sets of parametric equations in the same viewing rectangle When does each ball hit the ground? Whose ball hits first? Will the balls meet?

8-440 Linda: V, 45 ft/s, 45cos 44 y(t)-(45sin 44 )t-16t2= 45 sin44 ) 45 cos44 s st --16 45cos 44 COS 16 = (tan44°)-(45)'cos(44°) dy 32 #tan4f_(45)"cos(44°) 45) cos (44 )tan 440 31.62 32 16x(31.62 Max Height-tan44 x31.62-15.27