Acceleration Quiz 1

Question 1

The Bonita wildfires in California last year managed to burn over 600 acres of forest cover in a span of just a few hours. To help dampen the fires, California employed firefighter planes that could drop water and fire retardants on the flames. Imagine that one such plane, initially at rest, takes off from a runway at a nearby hangar and travels a distance of $$80$$ miles to reach the fire in half an hour. What would be the acceleration of the plane?  $$(	ext{Take 1 mile = 1.6 km})$$

Accepted Answer

$$512\,kmh^{-2}$$

Answer

$$256\,kmh^{-2}$$

Answer

$$128\,kmh^{-2}$$

Answer

$$64\,kmh^{-2}$$

Question 2

You decide to visit Turkey’s Cappadocia and indulge in some hot air ballooning opportunities with some friends. The hot air balloon, initially at rest, lifts off from the ground and travels upwards. If the mass of the hot air balloon is $$3500\,kg$$ and the apparent weight of the hot air balloon as it accelerates upwards is $$41.3 	imes 10^3\,N$$, find its acceleration. $$(	ext{ Take g=9.8}\,ms^{-2})$$.

Accepted Answer

$$2\,ms^{-2}$$

Answer

$$4\,ms^{-2}$$

Answer

$$9.8\,ms^{-2}$$

Answer

$$0.2\,ms^{-2}$$

Question 3

A dirt biker is accelerating up a boulder with an incline of $$\alpha = 30^{\circ}$$  as shown in the figure. If the mass of the biker is $$60\,kg$$ and that of his bike is $$100\,kg$$ what is the acceleration with which he is climbing up the incline? $$(	ext{ Take g=9.8}\,ms^{-1})$$.<img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/6635ea41-b335-455f-b740-de8c98be1df52390984709404310768.png"/>

Accepted Answer

$$4.9\,ms^{-2}$$

Answer

$$0.98\,ms^{-2}$$

Answer

$$19.6\,ms^{-2}$$

Answer

$$9.8\,ms^{-2}$$

Question 4

Florence Griffith Joyner is known as the fastest woman in history after setting a world record for running a $$100\,m$$ sprint in $$10.49\,s$$ in the 1988 U.S Olympics Trials. If she took off from rest upon hearing the starting pistol, and covered the first quarter of the distance in $$3\,s$$, the second quarter in $$2.5\,s$$, the third quarter in $$2.2\,s$$ and the final quarter in $$2.79\,s$$, what was her acceleration in each quarter?

Accepted Answer

$$2.77\,ms^{-2}$$, $$0.68\,ms^{-2}$$, $$0.62\,ms^{-2}$$, $$-0.86\,ms^{-2}$$

Answer

$$2.77\,ms^{-2}$$, $$0.68\,ms^{-2}$$, $$0.62\,ms^{-2}$$, $$0.86\,ms^{-2}$$

Answer

$$2.77\,ms^{-2}$$, $$4\,ms^{-2}$$, $$5.68\,ms^{-2}$$, $$3.21\,ms^{-2}$$

Answer

$$2.77\,ms^{-2}$$, $$4\,ms^{-2}$$, $$5.68\,ms^{-2}$$, $$-3.21\,ms^{-2}$$

Question 5

Fill in the blanks: You decide to attend a Formula 1 practice session for which you have an all-access pass, taking place this weekend at the Buddh Circuit in Noida. This is where the teams test out the performance of their cars and tweak the car’s wings and suspension settings to ensure they’re all set for the actual race. One of the teams decides to test out a new turbocharger that they claim can harness more power from the same engine and provide more acceleration. From the test data, you see that without the turbocharger, the car goes from $$0-100kmh^{-1}$$ in $$3s$$ but does the same with the turbocharger in $$2.6\,s$$. The acceleration of the car with the turbocharger was found to be nearly  __ times the acceleration of the car without it, and the power increased by __ percent.

Accepted Answer

$$1.15$$, $$15.3\%$$

Answer

$$1.5$$, $$15.3\%$$

Answer

$$1.15$$, $$50\%$$

Answer

$$1.25$$, $$5\%$$