Question

The acceleration time graph for the object whose displacement time graph is shown below is?

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

The $x-t$ graph is a downward open parabola whose general equation is
$y\left(x\right)\Rightarrow -a{x}^2+bx+c$
Comparing it with equation of displacement.
$x=u_{0}t+\frac{1}{2}a{t}^2$
The coefficient of term $\left(t^2\right)$ should be a negative and also it should be constant.

$\therefore a=-$ ve (as $t^2$ can't be negative)