Question

A bowling ball is rolled down the alley with a constant with a constant velocity of 1.5 m/sec. at an angle of 87 degrees to the starting line. The position of the person throwing the bowling ball can be represented by the point (0,0). Where is the ball after 7 seconds?
A. (0.5, 10.5)
B. (0.1, 1.5)
C. (10.5, 10.5)
D. (29, 200)

Answer 1

Assuming down the alley toward the pins is the +y direction, then
(x,y) = 7*1.5 * (cos87,sin87)

Answer 2

oobleck when I solves the equation you presented, I got 10.5 (0.052, 0.99). What does that mean?

Answer 3

Use the equations x(t)=v(cos theta t)+x1 and y(t)=v(sin theta t)+y1.
First x(t):
(1.5cos87°t)+0= x(t)=0.079t+0
Second y(t):
(1.5sin87°t)+0= y(t)=1.5t+0
Since it's 7 seconds, plug 7 into t:
x(t)=0.079(7)+0 which is 0.5
y(t)=1.5(7)+0 which is 10.5
Hence, the answer is A (0.5,10.5).