Question 110: Motion in 2D & Vectors

Question

Starting from the origin at time t = 0, with initial velocity 5$$\widehat j$$ ms
-1
, a particle moves in the x-y plane
with a constant acceleration of $$\left( {10\widehat i + 4\widehat j} \right)$$ ms
-2
. At time t, its coordinates are (20 m, y
0
m). The
values of t and y
0
are, respectively:

Accepted Answer

$$y = {u_y}t + {1 \over 2}{a_y}{t^2}$$
$$y = 5t + {1 \over 2}(4){t^2}$$
$$y = 5t + 2{t^2}$$
and $$x = 0(t) + {1 \over 2}(10)({t^2}) = 20$$
$$t = 2s$$
$$ \Rightarrow y = 10 + 8 = 18m$$

Answer

5s and 25 m

Answer

2s and 18 m

Answer

2s and 24 m

Answer

4s and 52 m

Motion in 2D & Vectors

Starting from the origin at time t = 0, with initial velocity 5$\widehat j ms -1 , a particle moves in the x-y plane with a constant acceleration of \left( {10\widehat i + 4\widehat j} \right)$ ms -2 . At time t, its coordinates are (20 m, y 0 m). The values of t and y 0 are, respectively:

Choose the correct answer: