Question

please answer this for 100 points​

Answer 1

SoLuTioN :

1. If a car starts at rest and accelerates uniformly, the distance it travels is proportional to the $<strong>t^2</strong>$ of the time it travels.

✏ As per second equation of kinematics...

$\sf \: s = ut + \frac{1}{2} a {t}^{2} \\ \\ \mapsto \sf \: since \: u = 0 \rightarrow \: s = \frac{1}{2} a {t }^{2} \\ \\ \sf \therefore \: \red{s \propto {t}^{2} }$

2. The speedometer of a car measures its instantaneous speed.

3. The slope of x → t graph gives the velocity of motion.

4. Area below v → t graph is measure of Distance travelled.

5. If a car is going northward and the driver jams on its breaks, the direction of its accelerationis southward.

✏ Because of retardation.

⏭ Additional information:

• Slope of v → t graph gives acceleration.
• Area between the a → t graph and its time axis gives change in velocity.

Answer 2

2. instataneous

4. distance travelled

5. southward