Motion In One Dimension (L-3)

Two cars are travelling towards each other at speed of 20 m/s each. When the cars are 300 m apart, both the drivers apply brakes and the cars retard at the rate of 2 m/s^-2. The distance between them when they come to rest is :

JEE Main 2024 (09 Apr Shift 2)

• 200 m

• 100 m

• 50 m

• 25 m

A particle moving in a straight line covers half the distance with speed 6 m/s. The other half is covered in two equal time intervals with speeds 9 m/s and 15 m/s respectively. The average speed of the particle during the motion is :

JEE Main 2024 (09 jul Apr Shift 1)

• 10 m/s

• 8 m/s

• 9.2 m/s

• 8.8 m/s

A clock has 75 cm, 60 cm long second hand and minute hand respectively. In 30 minutes duration the tip of second hand will travel x distance more than the tip of minute hand. The value of x in meter is nearly

(Take π=3.14) :

JEE Main 2024 (08 Apr Shift 1)

• 140.5

• 118.9

• 139.4

• 220.0

A body projected vertically upwards with a certain speed from the top of a tower reaches the ground in t₁. If it is projected vertically downwards from the same point with the same speed, it reaches the ground in t₂. Time required to reach the ground, if it is dropped from the top of the tower, is :

JEE Main 2024 (06 Apr Shift 2)

A particle moves in a straight line so that its displacement x at any time t is given by x²=1+t². Its acceleration at any time t is x⁻ⁿ where n = ________

JEE Main 2024 (06 Apr Shift 2)

A train starting from rest first accelerates uniformly up to a speed of 80 km/h for time t, then it moves with a constant speed for time 3t. The average speed of the train for this duration of journey will be (in km/h) :

JEE Main 2024 (06 Apr Shift 1)

• 40

• 80

• 30

• 70

A cyclist starts from the point P of a circular ground of radius 2 km and travels along its circumference to the point S. The displacement of a cyclist is:

JEE Main 2024 (04 Apr Shift 2)

• 8 km

• 6 km

• 4 km

A bus moving along a straight highway with speed of 72 km/h is brought to halt within 4s after applying the brakes. The distance travelled by the bus during this time (Assume the retardation is uniform) is _____m.

A body travels 102.5 m in n^th second and 115.0 m in (n+2)^th second. The acceleration is :

JEE Main 2024 (04 Apr Shift 1)

• 6.25 m/s²

• 12.5 m/s²

• 9 m/s²

• 5 m/s²