Answer to Question #149372 in Physics for ambiance

Question

a arrow is given an initial velocity of 63.7 m/sec straight upward. Use g = -9.8 m/sec^2

a) draw and label a diagram with time and velocities

b) find the total time the arrow is in the air

c) find the velocity of the arrow in m/sec at 10 seconds

d) find the maximum height of the arrow in meters

e) find the height of the arrow above ground in meters at 10 seconds

Answer 1

$$v=63.7-9.8t$$

a)

b)

$$T=2\frac{v}{g}=2\frac{63.7}{9.8}=13\ s$$

c)

$$v=63.7-9.8(10)=-34.3\frac{m}{s}$$

d)

$$h=0.5gt^2=0.5(9.8)13^2=828.1\ m$$

e)

$$V^2-v^2=2gH\\63.7^2-34.3^2=2(9.8)H\\H=147\ m$$